Roberto Conti
List of publications :
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R. Conti ,
On the intrinsic definition of local observables,
Lett. Math. Phys. 35, 237-250 (1995).
MR 96i:81163.
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R. Conti, C. Pinzari ,
Remarks on the index of endomorphisms of Cuntz algebras,
J. Funct. Anal. 142, 369-405 (1996).
MR 98e:46065.
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M. Aita, W. Bergmann, R. Conti ,
Amenable groups and generalized Cuntz algebras,
J. Funct. Anal. 150, 48-64 (1997).
MR 98k:46110.
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P. Bertozzini, R. Conti, R. Longo ,
Covariant sectors with infinite dimension and positivity of the energy,
Commun. Math. Phys. 193, 471-492 (1998).
MR 99d:81069.
funct-an/9704007.
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R. Conti ,
Amenability and infinite tensor products,
in Operator Theory, Operator Algebras and Related Topics,
Proceedings of the 16th International Conference on Operator Theory,
Timisoara 1996, 101-111, The Theta Foundation, Bucharest 1997.
MR 1 728 415.
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R. Conti, P. Contucci, C. Falcolini ,
Polynomial invariants for trees. A statistical mechanics approach,
Discrete Appl. Math. 81, 225-237 (1998).
MR 99b:82035.
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R. Conti, C. D'Antoni ,
Extension of anti-automorphisms and PCT-symmetry,
Rev. Math. Phys. 12, 725-738 (2000).
MR 2001f:81095.
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R. Conti, C. D'Antoni ,
Extension techniques in C*-crossed products by compact group duals and in QFT,
Proceedings of ``Mathematical Physics and Quantum Field Theory''.
A symposium celebrating the seventieth birthday of E. Wichmann,
Berkeley 1999,
Electr. J. Differ. Equ., Conf.04, 2000, pp. 23-35.
MR 2001h:81136.
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R. Conti, F. Fidaleo ,
Braided endomorphisms of Cuntz algebras,
Math. Scand. 87, 93-114 (2000).
MR 2003g:46065.
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S. Carpi, R. Conti ,
Classification of subsystems for local nets with trivial superselection
structure,
Commun. Math. Phys. 217, 89-106 (2001).
MR 2002c:81109.
math.OA/0002204.
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R. Conti, S. Doplicher, J. E. Roberts ,
Superselection theory for subsystems,
Commun. Math. Phys. 218, 263-281 (2001).
MR 2002i:81154.
math.OA/0001139.
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S. Carpi, R. Conti ,
Classification of subsystems, local symmetry generators and instrinsic
definition of local observables,
Proceedings of
``Mathematical Physics in Mathematics and in Physics.
Quantum and Operator Algebraic Aspects'',
Siena,
2000,
pp. 83-103,
Fields Institute Comm. 30,
American Mathematical Society, Providence, RI, 2001.
MR 2004a:81149.
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R. Conti, S.-Z. Wang ,
Covariant representations for coactions of Hopf C*-algebras,
Bull. Lond. Math. Soc. 35, 209-217 (2003).
MR 2004c:46131.
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E. Bédos, R. Conti ,
On infinite tensor products of projective unitary representations,
Rocky Mountain J. Math., 34, 467-493 (2004).
math.OA/0001110.
MR 2005f:22006.
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W. Bergmann, R. Conti ,
Asymptotic invariance, amenability and generalized Cuntz algebras,
Ergod. Th. & Dynam. Sys. 23, 1323-1346 (2003).
MR 2004h:46079.
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W. Bergmann, R. Conti ,
Induced product representations of extended Cuntz algebras,
Ann. Mat. Pura Appl. 182, 271-286 (2003).
MR 2005e:46092.
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W. Bergmann, R. Conti ,
On infinite tensor products of Hilbert C*-bimodules,
in Operator algebras and mathematical physics: conference proceedings,
Constanta (Romania), July 2-7, 2001. Editors J.-M. Combes, J. Cuntz, G.A.
Elliott, G. Nenciu, H. Siedentop and S. Stratila. Theta Foundation,
Bucharest (2003),
pp. 23-34.
MR 2004k:46086.
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R. Conti, C. D'Antoni, L. Geatti ,
Group automorphisms preserving equivalence classes of unitary
representations,
Forum Math. 16, 483-503 (2004).
MR 2005b:22011.
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E. Bédos, R. Conti, L. Tuset ,
On amenability and co-amenability of algebraic quantum groups
and their corepresentations,
Canad. J. Math. 57, 17-60 (2005).
math.OA/0111027.
MR 2006b:46071.
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S. Carpi, R. Conti ,
Classification of subsystems for graded-local nets with trivial superselection
structure,
Commun. Math. Phys. 253, 423-449 (2005).
math.OA/0312033.
MR 2006d:81154.
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P. Bertozzini, R. Conti, W. Lewkeeratiyutkul ,
A category of spectral triples and discrete groups with length function,
Osaka J. Math. 43, 327-350 (2006).
math.OA/0502583.
MR 2007h:46087.
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P. Bertozzini, R. Conti, W. Lewkeeratiyutkul ,
Noncommutative geometry, categories and quantum physics,
East-West J. Math. 2007, Special Vol., 213-259.
arXiv:0801.2826 [math.OA].
MR 2009m:58015.
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R. Conti, C. D'Antoni, G. Morsella ,
Renormalization group in algebraic quantum field theory:
past, present and future,
in Hot Topics in Operator Theory: Conference Proceedings,
Timisoara, June 29-July 4, 2006. Edited by R.G.Douglas, J.Esterle,
D.Gaspar, D.Timotin, F-H.Vasilescu. Theta, Bucharest, 2008,
pp. 69-77.
MR 2009m:81129.
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E. Bédos, R. Conti ,
On twisted Fourier analysis and convergence of Fourier series on discrete
groups,
J. Fourier Anal. Appl. 15, 336-365 (2009).
math.OA/0605145.
MR 2010f:22008.
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R. Conti, J. Hamhalter ,
Independence of group algebras,
Math. Nachr. 283, 818-827 (2010).
MR 2011h:46072.
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R. Conti, E. Vasselli ,
Extension of automorphisms to C*-crossed products with non-trivial centre,
J. Operator Theory. 64, no.2, 417-434 (2010).
arXiv:0707.0932 [math.OA].
MR 2011m:46125.
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R. Conti, W. Szymanski ,
Labeled trees and localized automorphisms of the Cuntz algebras,
Trans. Amer. Math. Soc. 363, 5847-5870 (2011).
arXiv:0805.4654 [math.OA].
MR 2012f:46130.
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R. Conti, W. Szymanski ,
Computing the Jones index of quadratic permutation endomorphisms of
O2,
J. Math. Phys. 50 (2009) no. 1, 012705.
arXiv:0805.4655 [math.OA].
MR 2010e:46062.
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R. Conti, G. Morsella ,
Scaling limit for subsystems and Doplicher-Roberts reconstruction,
Ann. H. Poincaré 10, 485-511 (2009).
arXiv:0808.1141 [math.OA].
MR 2011f:81129.
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R. Conti, J. Kimberley, W. Szymanski ,
More localized automorphisms of the Cuntz algebras,
Proc. Edinburgh Math. Soc. 53, 619-631 (2010).
arXiv:0808.2843 [math.OA].
MR 2012c:46160.
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P. Bertozzini, R. Conti, W. Lewkeeratiyutkul ,
A remark on Gelfand duality for spectral triples,
Bull. Korean Math. Soc. 48, 505-521 (2011).
arXiv:0812.3584 [math.OA].
MR 2012h:58032.
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P. Bertozzini, R. Conti, W. Lewkeeratiyutkul ,
A horizontal categorification of Gelfand duality,
Adv. Math. 226, 584-607 (2011).
arXiv:0812.3601 [math.OA].
MR 2012a:46139.
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R. Conti, M. Rørdam, W. Szymanski ,
Endomorphisms of O_n which preserve the canonical UHF-subalgebra,
J. Funct. Anal. 259, 602-617 (2010).
arXiv:0910.1304 [math.OA].
MR 2011h:46081.
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R. Conti ,
Automorphisms of the UHF algebra that do not extend to the Cuntz algebra,
J. Aust. Math. Soc. 89, 309-315 (2010).
arXiv:1003.1815 [math.OA].
MR 2012g:46097.
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R. Conti, J. H. Hong, W. Szymanski ,
The restricted Weyl group of the Cuntz algebra and shift endomorphisms,
J. Reine Angew. Math. 667, 177-191 (2012).
arXiv:1006.4791 [math.OA].
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P. Bertozzini, R. Conti, W. Lewkeeratiyutkul ,
Modular theory, noncommutative geometry and quantum gravity,
SIGMA 6 (2010), 067, 47 pages.
Special Issue on ``Non-commutative Spaces and Fields'',
edited by P. Aschieri, H. Grosse, G. Landi and R. Szabo.
arXiv:1007.4094 [gr-qc].
MR 2012c:46182
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R. Conti, J. H. Hong, W. Szymanski ,
Endomorphisms of the Cuntz algebras,
Banach Center Publ. 96, 81-97 (2012).
arXiv:1102.4875 [math.OA].
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P. Bertozzini, R. Conti, W. Lewkeeratiyutkul ,
Categorical non-commutative geometry,
J. Phys.: Conf. Ser. 346 (2012), 012003.
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R. Conti, J. H. Hong, W. Szymanski ,
Analysis of endomorphisms,
J. Phys.: Conf. Ser. 346 (2012), 012005.
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R. Conti, J. H. Hong, W. Szymanski ,
Endomorphisms of graph algebras,
J. Funct. Anal. 263, 2529-2554 (2012).
arXiv:1101.4210 [math.OA].
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E. Bédos, R. Conti ,
On discrete twisted C*-dynamical systems, Hilbert C*-modules
and regularity,
Münster J. Math. 5, 183-208 (2012).
arXiv:1104.1731 [math.OA].
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R. Conti, W. Szymanski ,
Automorphisms of the Cuntz algebras, in
Progress in operator algebras, noncommutative geometry, and their
applications,
1-15, Theta Ser. Adv. Math., 15, Theta, Bucharest, 2012.
arXiv:1108.0860 [math.OA].
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R. Conti, J. H. Hong, W. Szymanski ,
The Weyl group of the Cuntz algebra,
Adv. Math. 231, 3147-3161 (2012).
arXiv:1110.4476 [math.OA].
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P. Bertozzini, R. Conti, W. Lewkeeratiyutkul ,
Enriched Fell bundles and spaceoids, in
Noncommutative geometry and physics.
3, 283-297, Keio COE Lect. Ser. Math. Sci., 1, World Sci. Publ.,
Hackensack, NJ, 2013.
arXiv:1112.5999 [math.OA].
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S. Carpi, R. Conti, R. Hillier, M. Weiner ,
Representations of conformal nets, universal C*-algebras
and K-theory,
Commun. Math. Phys. 320, 275-300 (2013).
arXiv:1202.2543 [math.OA].
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S. Carpi, R. Conti, R. Hillier ,
Conformal nets and KK-theory,
Ann. Funct. Anal. 4, 11-17 (2013).
arXiv:1205.6393 [math.OA].
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R. Conti, G. Morsella ,
Asymptotic morphisms and superselection theory in the scaling limit,
J. Noncommut. Geom. 8, 735-770 (2014).
arXiv:1205.6380 [math.ph].
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E. Bédos, R. Conti ,
Fourier series and twisted C*-crossed products,
J. Fourier Anal. Appl. 21, 32-75 (2015).
arXiv:1303.7381 [math.OA].
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R. Conti, J. H. Hong, W. Szymanski ,
On conjugacy of maximal abelian subalgebras and the outer automorphism group
of the Cuntz algebra,
Proc. R. Soc. Edinb. A 145, 269-279 (2015).
arXiv:1308.3840 [math.OA].
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E. Bédos, R. Conti ,
On maximal ideals in certain reduced twisted C*-crossed products,
Math. Proc. Cambridge Philos. Soc. 158, 399-417 (2015).
arXiv:1405.1908 [math.OA].
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E. Bédos, R. Conti ,
Fourier theory and C*-algebras,
Topical Issue
``Seven Papers on Noncommutative Geometry and Operator Algebras''
(D. Guido, G. Landi, S. Vassout editors),
J. Geom. Phys. 105, 2-24 (2016).
Erratum, J. Geom. Phys. 150 (2020), 103609.
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E. Bédos, R. Conti ,
The Fourier-Stieltjes algebra of a C*-dynamical system,
Intern. J. Math. 27, 1650050, 50 pp. (2016).
arXiv:1510.03296 [math.OA].
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V. Aiello, R. Conti ,
Graph polynomials and link invariants as positive type functions on
Thompson's group F,
J. Knot Theory Ramifications 28, 1950006, 17 pp. (2019).
arXiv:1510.04428 [math.GR].
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V. Aiello, R. Conti ,
The Jones polynomial and functions of positive type on the
oriented Jones-Thompson groups F⃗ and T⃗,
Complex Anal. Oper. Theory , 13, 3127-3149 (2019).
arXiv:1603.03946 [math.GR].
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V. Aiello, R. Conti, S. Rossi ,
A look at the inner structure of the 2-adic ring C*-algebra and
its automorphism groups,
Publ. Res. Inst. Math. Sci. 54, 45-87 (2018).
arXiv:1604.06290 [math.OA].
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V. Aiello, R. Conti, V. F. R. Jones ,
The Homflypt polynomial and the oriented Thompson group,
Quantum Topol. 9, 461-472 (2018).
arXiv:1609.02484 [math.GR].
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E. Bédos, R. Conti ,
Negative definite functions for C*-dynamical systems,
Positivity 21, 1625-1646 (2017).
arXiv:1612.03309 [math.OA].
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V. Aiello, R. Conti, S. Rossi ,
Diagonal automorphisms of the 2-adic ring C*-algebra,
Q. J. Math. 69, 815-833 (2018).
arXiv:1701.04033 [math.OA].
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V. Aiello, R. Conti, S. Rossi, N. Stammeier ,
The inner structure of boundary quotients of right LCM semigroups,
Indiana Univ. Math. J. 69, 1627-1661 (2020).
arXiv:1709.08839 [math.OA].
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P. Bertozzini, R. Conti, W. Lewkeeratiyutkul, N. Suthichitranont ,
On strict higher C*-categories,
Cah. Topol. Géom. Différ. Catég.
61, 239-348 (2020).
arXiv:1709.09339v1 [math.OA].
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P. Bertozzini, R. Conti, N. Pitiwan ,
Discrete non-commutative Gelfand-Naimark duality,
East-West J. Math. 21, 103-143 (2019).
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V. Aiello, R. Conti, S. Rossi ,
Permutative representations of the 2-adic ring C*-algebra,
J. Operator Theory 82, 197-236 (2019).
arXiv:1804.01833 [math.OA].
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F. Brenti, R. Conti ,
Permutations, tensor products, and Cuntz algebra automorphisms,
Adv. Math. 381, 107590, 60 pp. (2021).
pdf
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R. Conti, G. Morsella ,
Asymptotic morphisms and superselection theory in the scaling limit II:
analysis of some models,
Commun. Math. Phys. 376, 1767-1801 (2020).
arXiv:1901.07292 [math.ph].
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V. Aiello, A. Brothier, R. Conti ,
Jones representations of Thompson's group F arising from
Temperley-Lieb-Jones algebras,
Int. Math. Res. Not. IMRN 2021, No.15, 11209-11245.
arxiv:1901.10597 [math.GR].
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V. Aiello, R. Conti, S. Rossi ,
A Fejér theorem for boundary quotients arising from algebraic dynamical
systems,
Ann. Sc. Norm. Super. Pisa. Cl. Sci. XXII, 305-313 (2021).
arXiv:1911.03414 [math.OA].
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V. Aiello, R. Conti, S. Rossi ,
Normalizers and permutative endomorphisms of the 2-adic ring C*-algebra,
J. Math. Anal. Appl. 481 (2020) no. 1, 123395.
arXiv:1902.05773 [math.OA].
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E. Bédos, R. Conti ,
The Fourier-Stieltjes algebra of a C*-dynamical system II,
Studia Math. 256, 217-239 (2021).
arXiv:1908.09654 [math.OA].
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R. Conti, G. Lechner ,
Yang-Baxter endomorphisms,
J. London Math. Soc. 103, 633-671 (2021).
arXiv:1909.04127 [math.OA].
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V. Aiello, R. Conti, S. Rossi ,
A hitchhiker's guide to endomorphisms and automorphisms of Cuntz algebras,
Rend. Mat. Appl. 42, 61-162 (2021).
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R. Conti, S. Rossi ,
Groups of isometries of the Cuntz algebras,
Doc. Math. 26, 1799-1815 (2021).
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P. Bertozzini, R. Conti, C. Puttirungroj ,
Duality for multimodules,
Indag. Math. (N.S.) 33, 768-800 (2022).
arXiv:2111.02184 [math.CT].
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R. Conti, C. Farsi ,
Isometries of Kellendonk-Savinien spectral triples and Connes metrics,
Intern. J. Math. 33 (2022), Article No. 2250084, 26 pp.
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F. Brenti, R. Conti, G. Nenashev ,
Permutative automorphisms of the Cuntz algebras: quadratic cycles,
an involution and a box product,
Adv. Appl. Math. 143 (2023), Paper No. 102447.
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J. Bassi, R. Conti ,
On isometries of spectral triples associated to AF-algebras and
crossed products,
J. Noncommut. Geom. 18 (2024), 547-566.
arXiv:2301.07644 [math.OA].
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R. Conti, P. Contucci ,
A
ℕatural Avenue.
Accepted for publication in Exp. Math.
arXiv:2204.08982 [math.NT].
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E. Bédos, R. Conti ,
Heat properties for groups,
J. Fourier Anal. Appl. 30:46 (2024).
arXiv:2211.12321 [math.OA].
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J. Bassi, R. Conti, C. Farsi, F. Latrémolière ,
Isometry groups of inductive limits of metric spectral triples
and Gromov-Hausdorff convergence,
J. London Math. Soc. 108, 1488-1530 (2023).
arXiv:2302.09117 [math.OA].
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R. Conti, G. Morsella ,
Quasi-free isomorphisms of second quantization algebras and
modular theory,
Math. Phys. Anal. Geom. 2024, 27(2), 8.
arXiv:2305.07606 [math.OA].
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F. Brenti, R. Conti, G. Nenashev ,
Cuntz algebra automorphisms: graphs and stability of permutations,
Trans. Amer. Math. Soc. 377, No. 12, 8433-8476 (2024).
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R. Conti, P. Contucci, V. Iudelevich ,
Bounds on tree distributions in number theory,
Ann. Univ. Ferrara 70 (2024), 1655-1685.
arXiv:2401.03278 [math.NT].
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E. Bédos, R. Conti ,
Positive definiteness and Fell bundles over discrete groups.
arXiv:2407.02216 [math.OA].
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P. Bertozzini, R. Conti, W. Lewkeeratiyutkul, K. Rutamorn ,
Spectral theory for non-full C*-categories.
arXiv:2502.00995 [math.OA].
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J. Bassi, R. Conti ,
On the inclusion O2 ⊂ Q2.
Accepted for publication in Kyoto J. Math.