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Book Review
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Book Information
Author(s):
Kenneth R. Davidson
Title:
-algebras by example
Additional book information:
Field Institute Monographs, vol. 6,
Amer. Math. Soc., Providence, RI,
1996,
xiv+309,
$59.00,
0-8218-0599-1
References:
- 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
-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.,
-algebra extension theory and duality, J. Funct. Anal. 129 (1995), 349-363. MR 96c:46072 - 7.
- Jensen, K. K. and Thomsen, K., Elements of
-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.,
-algebras and Operator Theory, Academic Press, Boston, 1990. MR 91m:46084 - 14.
- Wegge-Olsen, N. E.,
-theory and -algebras, Clarendon Press, Oxford Univ. Press, New York, 1993. MR 95c:46116
Additional Information:
Reviewer(s):
William
Arveson
Affiliation:
University of California, Berkeley
Email:
arveson@math.berkeley.edu
Review Information:
Journal:
Bull. Amer. Math. Soc.
34
(1997),
435-439.
MSC
(1991):
Primary 46L05
DOI:
10.1090/S0273-0979-97-00729-5
PII:
S 0273-0979(97)00729-5
Copyright of article:
Copyright
1997,
American Mathematical Society
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