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Book Review

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Book Information:

Author: Kenneth R. Davidson
Title: $C^{*}$-algebras by example
Additional book information: Field Institute Monographs, vol. 6, Amer. Math. Soc., Providence, RI, 1996, xiv+309 pp., ISBN 0-8218-0599-1, $59.00

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

  • 1. Bratteli, O. and Robinson, D. W., Operator Algebras and Quantum Statistical Mechanics 2, second edition, Springer-Verlag, New York, 1996.
  • 2. Connes, A., Noncommutative Geometry, Academic Press, San Diego, 1994.
  • 3. Dixmier, J., Les Algèbres d'Opérateurs dans l'Espace Hilbertien (Algèbres de von Neumann), Gauthier-Villars, Paris, 1957. MR 20:1234
  • 4. -, Les $C^{*}$-algèbres et leurs Représentations, Gauthier-Villars, Paris, 1964. MR 30:1404
  • 5. Fillmore, P. A., A User's Guide to Operator Algebras, Canadian Mathematical Society series of monographs and advanced texts, Wiley-Interscience, 1996. MR 97i:46094
  • 6. Higson, N., $C^{*}$-algebra extension theory and duality, J. Funct. Anal. 129 (1995), 349-363. MR 96c:46072
  • 7. Jensen, K. K. and Thomsen, K., Elements of $KK$-theory, Birkhäuser, Boston, 1991. MR 94b:19008
  • 8. Kadison, R. and Ringrose, J., Fundamentals of the Theory of Operator Algebras, vol. I, Academic Press, New York, 1983. MR 85j:46099
  • 9. -, Fundamentals of the Theory of Operator Algebras, vol. II, Academic Press, New York, 1986. MR 88d:46106
  • 10. -, Fundamentals of the Theory of Operator Algebras, vol. III, Academic Press, New York, 1991. MR 92m:46084
  • 11. -, Fundamentals of the Theory of Operator Algebras, vol. IV, Academic Press, New York, 1992. MR 93g:46052
  • 12. Mackey, G. W., The Mathematical Foundations of Quantum Mechanics, W. A. Benjamin, New York, 1963. MR 27:5501
  • 13. Murphy, G. J., $C^{*}$-algebras and Operator Theory, Academic Press, Boston, 1990. MR 91m:46084
  • 14. Wegge-Olsen, N. E., $K$-theory and $C^{*}$-algebras, Clarendon Press, Oxford Univ. Press, New York, 1993. MR 95c:46116

Review Information:

Reviewer: William Arveson
Affiliation: University of California, Berkeley
Journal: Bull. Amer. Math. Soc. 34 (1997), 435-439
MSC (1991): Primary 46L05
Review copyright: © Copyright 1997 American Mathematical Society
American Mathematical Society