Roberto Conti

List of publications :

  1. R. Conti , On the intrinsic definition of local observables, Lett. Math. Phys. 35, 237-250 (1995). MR 96i:81163.
  2. R. Conti, C. Pinzari , Remarks on the index of endomorphisms of Cuntz algebras, J. Funct. Anal. 142, 369-405 (1996). MR 98e:46065.
  3. M. Aita, W. Bergmann, R. Conti , Amenable groups and generalized Cuntz algebras, J. Funct. Anal. 150, 48-64 (1997). MR 98k:46110.
  4. 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.
  5. 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.
  6. R. Conti, P. Contucci, C. Falcolini , Polynomial invariants for trees. A statistical mechanics approach, Discrete Appl. Math. 81, 225-237 (1998). MR 99b:82035.
  7. R. Conti, C. D'Antoni , Extension of anti-automorphisms and PCT-symmetry, Rev. Math. Phys. 12, 725-738 (2000). MR 2001f:81095.
  8. 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.
  9. R. Conti, F. Fidaleo , Braided endomorphisms of Cuntz algebras, Math. Scand. 87, 93-114 (2000). MR 2003g:46065.
  10. 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.
  11. R. Conti, S. Doplicher, J. E. Roberts , Superselection theory for subsystems, Commun. Math. Phys. 218, 263-281 (2001). MR 2002i:81154. math.OA/0001139.
  12. 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.
  13. R. Conti, S.-Z. Wang , Covariant representations for coactions of Hopf C*-algebras, Bull. Lond. Math. Soc. 35, 209-217 (2003). MR 2004c:46131.
  14. 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.
  15. W. Bergmann, R. Conti , Asymptotic invariance, amenability and generalized Cuntz algebras, Ergod. Th. & Dynam. Sys. 23, 1323-1346 (2003). MR 2004h:46079.
  16. W. Bergmann, R. Conti , Induced product representations of extended Cuntz algebras, Ann. Mat. Pura Appl. 182, 271-286 (2003). MR 2005e:46092.
  17. 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.
  18. R. Conti, C. D'Antoni, L. Geatti , Group automorphisms preserving equivalence classes of unitary representations, Forum Math. 16, 483-503 (2004). MR 2005b:22011.
  19. 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.
  20. 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.
  21. 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.
  22. 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.
  23. 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.
  24. 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.
  25. R. Conti, J. Hamhalter , Independence of group algebras, Math. Nachr. 283, 818-827 (2010). MR 2011h:46072.
  26. 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.
  27. 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.
  28. 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.
  29. 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.
  30. 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.
  31. 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.
  32. 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.
  33. 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.
  34. 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.
  35. 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].
  36. 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
  37. R. Conti, J. H. Hong, W. Szymanski , Endomorphisms of the Cuntz algebras, Banach Center Publ. 96, 81-97 (2012). arXiv:1102.4875 [math.OA].
  38. P. Bertozzini, R. Conti, W. Lewkeeratiyutkul , Categorical non-commutative geometry, J. Phys.: Conf. Ser. 346 (2012), 012003.
  39. R. Conti, J. H. Hong, W. Szymanski , Analysis of endomorphisms, J. Phys.: Conf. Ser. 346 (2012), 012005.
  40. R. Conti, J. H. Hong, W. Szymanski , Endomorphisms of graph algebras, J. Funct. Anal. 263, 2529-2554 (2012). arXiv:1101.4210 [math.OA].
  41. 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].
  42. 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].
  43. 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].
  44. 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].
  45. 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].
  46. S. Carpi, R. Conti, R. Hillier , Conformal nets and KK-theory, Ann. Funct. Anal. 4, 11-17 (2013). arXiv:1205.6393 [math.OA].
  47. 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].
  48. E. Bédos, R. Conti , Fourier series and twisted C*-crossed products, J. Fourier Anal. Appl. 21, 32-75 (2015). arXiv:1303.7381 [math.OA].
  49. 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].
  50. 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].
  51. 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.
  52. 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].
  53. 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].
  54. 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].
  55. 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].
  56. 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].
  57. E. Bédos, R. Conti , Negative definite functions for C*-dynamical systems, Positivity 21, 1625-1646 (2017). arXiv:1612.03309 [math.OA].
  58. 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].
  59. 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].
  60. 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].
  61. P. Bertozzini, R. Conti, N. Pitiwan , Discrete non-commutative Gelfand-Naimark duality, East-West J. Math. 21, 103-143 (2019).
  62. 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].
  63. F. Brenti, R. Conti , Permutations, tensor products, and Cuntz algebra automorphisms, Adv. Math. 381, 107590, 60 pp. (2021). pdf
  64. 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].
  65. 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].
  66. 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].
  67. 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].
  68. 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].
  69. R. Conti, G. Lechner , Yang-Baxter endomorphisms, J. London Math. Soc. 103, 633-671 (2021). arXiv:1909.04127 [math.OA].
  70. V. Aiello, R. Conti, S. Rossi , A hitchhiker's guide to endomorphisms and automorphisms of Cuntz algebras, Rend. Mat. Appl. 42, 61-162 (2021).
  71. R. Conti, S. Rossi , Groups of isometries of the Cuntz algebras, Doc. Math. 26, 1799-1815 (2021).
  72. P. Bertozzini, R. Conti, C. Puttirungroj , Duality for multimodules, Indag. Math. (N.S.) 33, 768-800 (2022). arXiv:2111.02184 [math.CT].
  73. R. Conti, C. Farsi , Isometries of Kellendonk-Savinien spectral triples and Connes metrics, Intern. J. Math. 33 (2022), Article No. 2250084, 26 pp.
  74. 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.
  75. 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].
  76. R. Conti, P. Contucci , A ℕatural Avenue. Accepted for publication in Exp. Math. arXiv:2204.08982 [math.NT].
  77. E. Bédos, R. Conti , Heat properties for groups, J. Fourier Anal. Appl. 30:46 (2024). arXiv:2211.12321 [math.OA].
  78. 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].
  79. 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].
  80. F. Brenti, R. Conti, G. Nenashev , Cuntz algebra automorphisms: graphs and stability of permutations, Trans. Amer. Math. Soc. 377, No. 12, 8433-8476 (2024).
  81. 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].
  82. E. Bédos, R. Conti , Positive definiteness and Fell bundles over discrete groups. Accepted for publication in Math. Zeit. arXiv:2407.02216 [math.OA].
  83. P. Bertozzini, R. Conti, W. Lewkeeratiyutkul, K. Rutamorn , Spectral theory for non-full C*-categories. arXiv:2502.00995 [math.OA].
  84. J. Bassi, R. Conti , On the inclusion O2 ⊂ Q2. Accepted for publication in Kyoto J. Math. arXiv:2505.16759 [math.OA].