Année 2018-2019
- Kasparov, K-theoretic index theorems for elliptic and transversally elliptic operators, 2016. [PDF1] [PDF2] [PDF3]
Année 2013-2014
- D.S. Freed & G.W. Moore, Twisted equivariant matter, 2012. [ArXiV]
- C. Debord & G. skandalis, Adiabatic groupoid, crossed product by \(\mathbb{R}^*_+\) pseudo differential calculus , 2013. [ArXiV]
Quelques références utiles pour commencer
- M.F. Atiyah, "K-theory", Benjamin, New York, 1967 [pdf]
- M.F. Atiyah & W. Schmid, "A geometric construction of the discrete series for semisimple Lie groups", Invent. Math. 42, 1977, 1--62 [pdf]
- M.F. Atiyah & I. Singer, "Elliptic operators and index theory I,III", Annals of Maths 87, 1968 [I] [III]
- A. Connes, "Noncommutative differential geometry, Publications de l'IHES 62, 1985, 257-360 [pdf]
- A. Connes, "Non Commutative Geometry", Academic Press, 1994 [pdf]
- J. Gracia-Bondia, J. Varilly et H. Figueroa, "Elements of noncommutative geometry" Birkhaeuser, 2001 [djvu]
Encore quelques classiques
- W. Arveson, An Invitation to C*-Algebras, Springer 1976. [djvu]
- B. Blackadar, K-theory for Operator Algebras, Cambridge University Press, 1998. [djvu]
- B. Blackadar, Operator Algebras, Springer, 2005. [pdf]
- O. Bratteli and D.W. Robinson, Operator Algebras and Quantum Statistical Mechanics , Springer, 1987-2002. [Volumes I, II]
- J. Diximier, Les C*-algèbres et leurs représentations , Gauthier-Villars, 1964. [pdf]
- J. Diximier, Les Algèbres d'Opérateurs dans l'espace de Hilbert (Aglèbres de von Neumann) , Gauthier-Villars, 1969. [djvu]
- V. Jones, von Neumann algebras, 2003 . [pdf],
- V. Jones & V. Sunder, Introduction to subfactors, Cambridge University Press, 1997.
- G.K. Pedersen, C*-algebras and their Automorphism groups, Academic press, 1979. [djvu]
- Gilles Pisier, Introduction to Operator Space Theory , Cambridge University Press, 2003.
- J. Renaud, A groupoid approach to C*-algebras Lecture Notes in Math. 793, 1980. [pdf]
- J. Roe, Notes on Operator Algebras, 2000. [djvu]
- M Takesaki, Theory of Operator Algebras , Springer, 1979-2003. [Volumes I, II, III]
- N.E. Wegge-Olsen, K-theory and C*-algebras, Oxford University Press, 1993. [djvu]