参考书目:5.K-理论,C^*-代数

参考书目:5.K-理论,C^*-代数
发信站: 日月光华 (2002年11月25日18:37:42 星期一)

Atiyah M.
K-theory, W.A.Benjamin Inc., 1967

Bass H.
Introduction to some methods of algebraic K-theory,
Colorado, August 24-28, 1973(Regional Conference Series
in Mathematics, n°20), AMS, Providence 1974

Bass H.
Algebraic K-theory, Mathematics Lecture Notes Series,
Benjamin, 1968

Bass H.
-"Classical" algebraic K-theory and connection with
arithmetic, Seattle Research Sept. 1972, LNM
342,Springer-Verlag, 1972
-Hermitian K-theory and geometric applications, LNM 343.
Springer-Verlag, 1973
-Higher K-theories, LNM 341, Springer-Verlag, 1973

Blackadar B.
K-theory for operator algebras, Mathematical Sciences
Research Institute Publications vol.5,
Springer-Verlag,1986
(此书已经出了第二版,不过变动不是很大)

Dixmier J.
Les alg\`ebres d'op\'erateurs dans l'espace
Hilbertien(alg\`ebres de von Neumann), Cahiers
Scientifiques n°25,Gauthier-Villars,1969(这是第二版)
(英译本 Von Neumann Algebras,国内曾经影印过)

Dixmier J.
Les C^*-alg\`ebres et leurs repr\'esentations, Cahiers
Scientifiques n°29, Gauthier-Villars, 1964
(英译本 C^*-algebras Algebras,国内曾经影印过)

Kadison R., Ringerose J.
Fundamentals of the theory of operator algebras, vol.
1-2,Academic Press, 1983-1986
(这书国内也影印过。后来又第III,IV卷,分别是前两卷的习题)

Karoubi M.
K-theory, an introduction, Grundlehren Math. Wiss. 226,
Springer-Verlag, 1978

Milnor J.
Introduction to algebraic K-theory, Annals od
Mathematical Stidies n°72, Princeton UP, 1971

Takesaki M.
Theory of operator algebra, vol.1, Springer-Verlag 1979