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Book Review
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Book Information
Author(s):
Sh\^oichir\^o Sakai
Title:
Operator algebras in dynamical systems
Additional book information:
Encyclopedia of Mathematics and its Applications, vol. 41, Cambridge University Press, Cambridge, 219 + 12 pp., US$59.50. ISBN 0-521-40096
References:
-
- [GN]
- I. M. Gelfand and M. A. Neumark, On the imbedding of normed rings into the ring of operators in Hilbert space, Mat. Sb. 12 (1943), 197-213. MR 0009426 (5:147d)
- [G]
- J. G. Glimm, On a certain class of operator algebras, Trans. Amer. Math. Soc. 95 (1960), 318-340. MR 0112057 (22:2915)
- [K]
- I. Kaplansky, Modules over operator algebras, Amer. J. Math. 75 (1953), 839-853. MR 0058137 (15:327f)
- [vN]
- J. von Neumann, Zur Algebra der Funkionaloperationen und Theorie der normalen Operatoren, Math. Ann. 102 (1930), 370-427. MR 1512583
- [S1]
- S. Sakai, On a conjecture of Kaplansky, Tôhoku Math. J. 12 (1960), 31-33. MR 0112055 (22:2913)
- [S2]
- -, On commutative normal *-derivations, Comm. Math. Phys. 43 (1975), 39-40. MR 0372631 (51:8838)
Additional Information:
Reviewer(s):
Richard V.
Kadison
Review Information:
Journal:
Bull. Amer. Math. Soc.
28
(1993),
133-136.
DOI:
10.1090/S0273-0979-1993-00331-8
PII:
S 0273-0979(1993)00331-8
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