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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. Jacques Dixmier, Les algèbres d’opérateurs dans l’espace hilbertien (Algèbres de von Neumann), Cahiers scientifiques, Fascicule XXV, Gauthier-Villars, Paris, 1957 (French). MR 0094722
  • 4. Jacques Dixmier, Les 𝐶*-algèbres et leurs représentations, Cahiers Scientifiques, Fasc. XXIX, Gauthier-Villars & Cie, Éditeur-Imprimeur, Paris, 1964 (French). MR 0171173
  • 5. Peter A. Fillmore, A user’s guide to operator algebras, Canadian Mathematical Society Series of Monographs and Advanced Texts, John Wiley & Sons, Inc., New York, 1996. A Wiley-Interscience Publication. MR 1385461
  • 6. Nigel Higson, 𝐶*-algebra extension theory and duality, J. Funct. Anal. 129 (1995), no. 2, 349–363. MR 1327182, https://doi.org/10.1006/jfan.1995.1054
  • 7. Kjeld Knudsen Jensen and Klaus Thomsen, Elements of 𝐾𝐾-theory, Mathematics: Theory & Applications, Birkhäuser Boston, Inc., Boston, MA, 1991. MR 1124848
  • 8. Richard V. Kadison and John R. Ringrose, Fundamentals of the theory of operator algebras. Vol. I, Pure and Applied Mathematics, vol. 100, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York, 1983. Elementary theory. MR 719020
  • 9. Richard V. Kadison and John R. Ringrose, Fundamentals of the theory of operator algebras. Vol. II, Pure and Applied Mathematics, vol. 100, Academic Press, Inc., Orlando, FL, 1986. Advanced theory. MR 859186
  • 10. Richard V. Kadison and John R. Ringrose, Fundamentals of the theory of operator algebras. Vol. III, Birkhäuser Boston, Inc., Boston, MA, 1991. Special topics; Elementary theory—an exercise approach. MR 1134132
  • 11. Richard V. Kadison and John R. Ringrose, Fundamentals of the theory of operator algebras. Vol. IV, Birkhäuser Boston, Inc., Boston, MA, 1992. Special topics; Advanced theory—an exercise approach. MR 1170351
  • 12. George W. Mackey, The mathematical foundations of quantum mechanics: A lecture-note volume, W., A. Benjamin, Inc., New York-Amsterdam, 1963. MR 0155567
  • 13. Gerard J. Murphy, 𝐶*-algebras and operator theory, Academic Press, Inc., Boston, MA, 1990. MR 1074574
  • 14. N. E. Wegge-Olsen, 𝐾-theory and 𝐶*-algebras, Oxford Science Publications, The Clarendon Press, Oxford University Press, New York, 1993. A friendly approach. MR 1222415

Review Information:

Reviewer: William Arveson
Affiliation: University of California, Berkeley
Email: arveson@math.berkeley.edu
Journal: Bull. Amer. Math. Soc. 34 (1997), 435-439
DOI: https://doi.org/10.1090/S0273-0979-97-00729-5
Review copyright: © Copyright 1997 American Mathematical Society