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Book Review

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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.

References [Enhancements On Off] (What's this?)

  • 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

Review Information:

Reviewer: Joachim Cuntz
Journal: Bull. Amer. Math. Soc. 20 (1989), 101-103
DOI: https://doi.org/10.1090/S0273-0979-1989-15715-7
American Mathematical Society