Roberto Conti`s Publications [1] R. Conti, “On the intrinsic definition

Roberto Conti’s 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] R. Conti, “Teoria algebrica dei campi e inclusioni di algebre di von Neumann”, Tesi di Dottorato,
Università di Roma Tor Vergata (1996). Copie della tesi sono state depositate presso le Biblioteche
Nazionali Centrali di Roma e Firenze in data 29/3/97, 14/5/97 rispettivamente.
[4] M. Aita, W. Bergmann, R. Conti, “Amenable groups and generalized Cuntz algebras”, J. Funct. Anal.
150, 48-64 (1997). MR 98k:46110.
[5] 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.
[6] 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.
[7] R. Conti, P. Contucci, C. Falcolini, “Polynomial invariants for trees. A statistical mechanics approach”,
Discrete Appl. Math. 81, 225-237 (1998). MR 99b:82035.
[8] R. Conti, C. D’Antoni, “Extension of anti-automorphisms and PCT-symmetry”, Rev. Math. Phys. 12,
725-738 (2000). MR 2001f:81095.
[9] R. Conti, C. D’Antoni, “Extension techniques in C ∗ -crossed products by compact group duals and in
QFT”, Electr. J. Differential Equations, Conf.04, 2000, pp. 23-35. MR 2001h:81136.
[10] R. Conti, F. Fidaleo, “Braided endomorphisms of Cuntz algebras”, Math. Scand. 87, 93-114 (2000).
MR 2003g:46065.
[11] S. Carpi, R. Conti, “Classification of subsystems for local nets with trivial superselection structure”,
Commun. Math. Phys. 217, 89-106 (2001). MR 2002c:81109.
[12] R. Conti, S. Doplicher, J. E. Roberts, “Superselection theory for subsystems”, Commun. Math. Phys.
218, 263-281 (2001). MR 2002i:81154.
[13] S. Carpi, R. Conti, “Classification of subsystems, local symmetry generators and intrinsic definition of
local observables”, R. Longo, ed., “Mathematical Physics in Mathematics and in Physics. Quantum
and Operator Algebraic Aspects”, Siena, 2000, pp. 83-103, Fields Inst. Commun. 30, American
Mathematical Society, Providence, RI, 2001. MR 2004a:81149.
[14] R. Conti, S.-Z. Wang, “Covariant representations for coactions of Hopf C*-algebras”, Bull. London
Math. Soc. 35, 209-217 (2003). MR 2004c:46131.
[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, “On infinite tensor products of projective unitary representations”, Rocky Mountain
J. Math. 34, 467-493 (2004). MR 2005f:22006.
[20] 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). MR 2006b:46071.
[21] S. Carpi, R. Conti, “Classification of subsystems for graded-local nets with trivial superselection structure”, Commun. Math. Phys. 253, 423-449 (2005). MR 2006d:81154.
[22] P. Bertozzini, R. Conti, W. Lewkeeratiyutkul, “A category of spectral triples and discrete groups with
length function”, Osaka J. Math. 43, 327-350 (2006). MR 2007h:46087.
[23] P. Bertozzini, R. Conti, W. Lewkeeratiyutkul, “Non-commutative geometry, categories and quantum
physics”, East-West J. Math. 2007, Special Vol., 213-259. MR 2009m:58015.
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[24] 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 29July 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.
[25] E. Bédos, R. Conti, “On twisted Fourier analysis and convergence of Fourier series on discrete groups”,
J. Fourier Anal. Appl. 15, 336-365 (2009). MR 2010f:22008.
[26] R. Conti, J. Hamhalter, “Independence of group algebras”, Math. Nachr. 283, 818-827 (2010). MR
2011h:46072.
[27] R. Conti, E. Vasselli, “Extension of automorphisms to C ∗ -crossed products with non-trivial centre ”, J.
Operator Theory 64, no.2, 417-434 (2010). MR 2011m:46125.
[28] R. Conti, W. Szymański, “Labeled trees and localized automorphisms of the Cuntz algebras”, Trans.
Amer. Math. Soc. 363, 5847-5870 (2011). MR 2012f:46130.
[29] R. Conti, W. Szymański, “Computing the Jones index of quadratic permutation endomorphisms of O2 ”,
J. Math. Phys. 50 (2009) no. 1, 012705. MR 2010e:46062.
[30] R. Conti, G. Morsella, “Scaling limit for subsystems and Doplicher-Roberts reconstruction”, Ann. H.
Poincaré 10, 485-511 (2009). MR 2011f:81129.
[31] R. Conti, J. Kimberley, W. Szymański, “More localized automorphisms of the Cuntz algebras”, Proc.
Edinburgh Math. Soc. 53, 619-631 (2010). MR 2012c:46160.
[32] P. Bertozzini, R. Conti, W. Lewkeeratiyutkul, “A remark on Gelfand duality for spectral triples”, Bull.
Korean Math. Soc. 48, 505-521 (2011). MR 2012h:58032.
[33] P. Bertozzini, R. Conti, W. Lewkeeratiyutkul, “A horizontal categorification of Gelfand duality”, Adv.
Math. 226, 584-607 (2011). MR 2012a:46139.
[34] R. Conti, M. Rørdam, W. Szymański, “Endomorphisms of On which preserve the canonical UHFsubalgebra”, J. Funct. Anal. 259, 602-617 (2010). MR 2011h:46081.
[35] R. Conti, “Automorphisms of the UHF algebra that do not extend to the Cuntz algebra”, J. Aust. Math.
Soc. 89, 309-315 (2010). MR 2012g:46097.
[36] R. Conti, J. H. Hong, W. Szymański, “The restricted Weyl group of the Cuntz algebra and shift endomorphisms”, J. Reine Angew. Math. 667, 177-191 (2012).
[37] P. Bertozzini, R. Conti, W. Lewkeeratiyutkul, “Modular theory, noncommutative geometry and quantum
gravity”, SIGMA Symmetry Integrability Geom. Methods Appl. 6 (2010), 067, 47 pp. Special Issue on
“Non-commutative Spaces and Fields”, edited by P. Aschieri, H. Grosse, G. Landi and R. Szabo. MR
2012c:46182.
[38] R. Conti, J. H. Hong, W. Szymański, “Endomorphisms of the Cuntz algebras”, Banach Center Publ.
96, 81-97 (2012).
[39] P. Bertozzini, R. Conti, W. Lewkeeratiyutkul, “Categorical non-commutative geometry”, J. Phys.: Conf.
Ser. 346, 012003 (2012).
[40] R. Conti, J. H. Hong, W. Szymański, “Analysis of endomorphisms”, J. Phys.: Conf. Ser. 346, 012005
(2012).
[41] R. Conti, J. H. Hong, W. Szymański, “Endomorphisms of graph algebras”, J. Funct. Anal. 263, 25292554 (2012).
[42] E. Bédos, R. Conti, “On discrete twisted C ∗ -dynamical systems, Hilbert C ∗ -modules and regularity”,
Münster J. Math. 5, 183-208 (2012).
[43] R. Conti, W. Szymański, “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.
[44] R. Conti, J. H. Hong, W. Szymański, “The Weyl group of the Cuntz algebra”, Adv. Math. 231,
3147-3161 (2012).
[45] P. Bertozzini, R. Conti, W. Lewkeeratiyutkul, “Enriched Fell bundles and spaceoids”, in Noncommutative Geometry and Physics 3, pp. 283-297, G. Dito, M. Kotani, Y. Maeda, H. Moriyoshi, T. Natsume,
S. Watamura (eds), World Scientific, 2013.
[46] 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).
[47] S. Carpi, R. Conti, R. Hillier, “Conformal nets and KK-theory”, Ann. Funct. Anal. 4, 11-17 (2013).
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[48] R. Conti, G. Morsella, “Asymptotic morphisms and superselection theory in the scaling limit”, J. Noncommut. Geom. 8, 735-770 (2014).
[49] E. Bédos, R. Conti, “Fourier series and twisted C ∗ -crossed products”, J. Fourier Anal. Appl. 21, 32-75
(2015).
[50] R. Conti, J. H. Hong, W. Szymański, “On conjugacy of maximal abelian subalgebras and the outer
automorphism group of the Cuntz algebra”, Proc. Roy. Soc. Edinburgh Sect. A 145, 269-279 (2015).
[51] E. Bédos, R. Conti, “On maximal ideals in certain reduced twisted C ∗ -crossed products”, Math. Proc.
Cambridge Philos. Soc. 158, 399-417 (2015).
[52] E. Bédos, R. Conti, “Fourier theory and C ∗ -algebras”, J. Geom. Phys. 105, 2-24 (2016).
[53] E. Bédos, R. Conti, “The Fourier-Stieltjes algebra of a C ∗ -dynamical system”, Intern. J. Math. 27,
1650050, 50 pp. (2016).
[54] V. Aiello, R. Conti, “Graph polynomials and link invariants as positive type functions on Thompson’s
group F ”, preprint arXiv:1510.04428 [math.GR].
[55] V. Aiello, R. Conti, “The Jones polynomial and functions of positive type on the oriented JonesThompson groups F~ and T~ ”, preprint arXiv:1603.03946 [math.GR].
[56] V. Aiello, R. Conti, S. Rossi, “A look at the inner structure of the 2-adic ring C ∗ -algebra and its
automorphism groups”, preprint arXiv:1604.06290 [math.OA].
[57] V. Aiello, R. Conti, V. F. R. Jones, “The Homflypt polynomial and the oriented Thompson group”,
preprint arXiv:1609.02484 [math.GR].
[58] E. Bédos, R. Conti, “Negative definite functions for C ∗ -dynamical systems”, preprint arXiv:1612.03309
[math.OA].
[59] V. Aiello, R. Conti, S. Rossi, “Diagonal automorphisms of the 2-adic ring C ∗ -algebra”, preprint
arXiv:1701.04033 [math.OA].
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