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]