Reference
books for the Fall 2004 semester
A. Connes, Noncommutative
Geometry, Acad. press, San Diego (1994)
Joseph C. Varilly, Hector
Figueroa, Jose M. Gracia-Bondia,
Elements of Noncommutative Geometry, Birkhauser Boston
(2000).
Books on C*-algebras
S. Sakai, C* and W*-algebras, Ergebnisse der
Mathematik und ihrer Grenzgebiete,
Bd. 60. Springer, Berlin Heidelberg New York (1971).
J. Dixmier, Les C*-algèbres et leurs
représentations.
(French) Deuxième édition.
Cahiers Scientifiques, Fasc. XXIX. Gauthier-Villars Editeur, Paris
(1969 )
G. Pedersen, C*-algebras and their automorphism group.
Academic Press, London, (1979).
R.V. Kadison,
J.R.~Ringrose, Fundamentals of the
theory of operator algebras,
Vol. I, Elementary theory.
Vol. II, Advanced theory.
American Mathematical Society, Providence, RI, (1997).
Noncommutative Manifolds
A. Rennie, "Commutative Geometry are Spin Manifolds", Rev. Math. Phys, 13, (2001) 409-464. A. Connes, G. Landi, "Noncommutative Manifolds, the Instanton Algebra and Isospectral Deformations",