Bulletin of the American Mathematical Society

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Book Information:

Author: N. Christopher Phillips
Title: Equivariant $K$-theory and freeness of group actions on $C^*$-algebras
Additional book information: Lecture Notes in Math., vol. 1274, Springer-Verlag, Berlin and New York, viii + 371 pp., $32.90. ISBN 3-540-18277-2.

B. Blackadar, Operator algebras, Encyclopaedia of Mathematical Sciences, vol. 122, Springer-Verlag, Berlin, 2006. Theory of $C^*$-algebras and von Neumann algebras; Operator Algebras and Non-commutative Geometry, III. MR 2188261, DOI 10.1007/3-540-28517-2

L. G. Brown, R. G. Douglas, and P. A. Fillmore, Extensions of $C^*$-algebras and $K$-homology, Ann. of Math. (2) 105 (1977), no. 2, 265–324. MR 458196, DOI 10.2307/1970999

A. Connes, A survey of foliations and operator algebras, Operator algebras and applications, Part 1 (Kingston, Ont., 1980) Proc. Sympos. Pure Math., vol. 38, Amer. Math. Soc., Providence, R.I., 1982, pp. 521–628. MR 679730

Alain Connes, Noncommutative differential geometry, Inst. Hautes Études Sci. Publ. Math. 62 (1985), 257–360. MR 823176

Joachim Cuntz, $K$-theory for certain $C^{\ast }$-algebras, Ann. of Math. (2) 113 (1981), no. 1, 181–197. MR 604046, DOI 10.2307/1971137

George A. Elliott, On the classification of inductive limits of sequences of semisimple finite-dimensional algebras, J. Algebra 38 (1976), no. 1, 29–44. MR 397420, DOI 10.1016/0021-8693(76)90242-8

Max Karoubi, $K$-theory, Grundlehren der Mathematischen Wissenschaften, Band 226, Springer-Verlag, Berlin-New York, 1978. An introduction. MR 0488029

G. G. Kasparov, The operator $K$-functor and extensions of $C^{\ast }$-algebras, Izv. Akad. Nauk SSSR Ser. Mat. 44 (1980), no. 3, 571–636, 719 (Russian). MR 582160

G. G. Kasparov, Equivariant $KK$-theory and the Novikov conjecture, Invent. Math. 91 (1988), no. 1, 147–201. MR 918241, DOI 10.1007/BF01404917

M. Pimsner and D. Voiculescu, Exact sequences for $K$-groups and Ext-groups of certain cross-product $C^{\ast }$-algebras, J. Operator Theory 4 (1980), no. 1, 93–118. MR 587369

1.

B. Blackadar, K-theory for operator algebras, MSRI Publications, no. 5, Springer-Verlag, Berlin and New York, 1986. MR 2188261

2.

L. Brown, R. Douglas and P. Fillmore, Extensions of C*-algebras and K-homology, Ann. of Math. (2) 105 (1977), 265-324. MR 458196

3.

A. Connes, A survey of foliations and operator algebras, Proc. Sympos. Pure Math., vol. 38, Amer. Math. Soc., Providence, R. I., 1982, pp. 521-628. MR 679730

4.

A. Connes, Noncommutative differential geometry, Inst Hautes Études Sci. Publ. Math. 62 (1986), 257-360. MR 823176

5.

J. Cuntz, K-theory for certain C*-algebras, Ann. of Math. (2) 113 (1981), 181-197. MR 604046

6.

G. Elliott, On the classification of inductive limits of sequences of semi-simple finite dimensional algebras, J. Algebra 38 (1976), 29-44. MR 397420

7.

M. Karoubi, K-theory: An introduction, Springer-Verlag, Berlin and New York, 1978. MR 488029

8.

G. Kasparov, The operator K-functor and extensions of C*-algebras, Izv. Akad. Nauk SSSR Ser. Mat. 44 (1980), 571-636. MR 582160

9.

G. Kasparov, Equivariant KK-theory and the Novikov conjecture, Invent. Math. 91 (1988), 147-201 (preliminary version was circulated already in 1981). MR 918241

10.

M. Pimsner and D. Voiculescu, Exact sequences for K-groups and Ext-groups of certain cross-product C*-algebras, J. Operator Theory 4 (1980), 93-118. MR 587369