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Book Review
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Book Information
Author(s):
J. M. G. Fell and R. S. Doran
Title:
Representations of *-algebras, locally compact groups, and Banach *-algebraic bundles
Additional book information:
Academic Press, San Diego, 1988. vol. 1, Basic representation theory of groups and algebras, xviii + 746 pp., $99.00. ISBN 0-12-252721-6. vol. 2, Banach *-algebraic bundles, induced representations, and the generalized Mackey analysis, viii + 740 pp., $99.00. ISBN 0-12-252722-4
References:
- 1.
- R. J. Blattner, On induced repressentations, Amer. J. Math. 83 (1961), 79-98. MR 125456
- 2.
- J. M. G. Fell, An extension of Mackey's method to Banach *-algebraic bundles, Mem. Amer. Math. Soc. no. 90, Providence, R. I., 1969. MR 259619
- 3.
- J. M. G. Fell, Induced representations and Banach *-algebraic bundles, Lecture Notes in Math., vol. 582, Springer-Verlag, Berlin-Heidelberg-New York, 1977. MR 457620
- 4.
- G. Frobenius, Über Relationen Zwischen den Charakteren einer Gruppe und denen ihrer Untergruppen, Sitzber. Preuss. Akad. Wiss. (1898), 501-515.
- 5.
- L. H. Loomis, Positive definite functions and induced representations, Duke Math. J. 27 (1960), 569-579. MR 148798
- 6.
- G. W. Mackey, Imprimitivity for representations of locally compact groups. I, Proc. Nat. Acad. Sci. U. S. A. 35 (1949), 537-545. MR 31489
- 7.
- G. W. Mackey, On induced representations of groups, Amer. J. Math. 73 (1951), 576-592. MR 42420
- 8.
- G. W. Mackey, Induced representations of locally compact groups. I, Ann. of Math. (2) 55 (1952), 101-139. MR 44536
- 9.
- G. W. Mackey, Unitary representations of group extensions. I, Acta Math. 99 (1958), 265-311. MR 98328
- 10.
- M. Rieffel, Induced representations of C*-algebras, Adv. in Math. 13 (1974), 176-257. MR 353003
- 11.
- M. Rieffel, Review of induced representations and Banach *-algebraic bundles, Bull. Amer. Math. Soc. (N. S. ) 1 (1979), 232-237.
- 12.
- M. Takesaki, Covariant representations of C* -algebras and their locally compact automorphism groups, Acta Math. 119 (1967), 273-303. MR 225179
- 13.
- Hermann Weyl, The classical groups, their invariants and representations, Princeton Univ. Press, Princeton, N. J., 1939. MR 1488158
Additional Information:
Reviewer(s):
Dana P.
Williams
Review Information:
Journal:
Bull. Amer. Math. Soc.
21
(1989),
311-314.
DOI:
10.1090/S0273-0979-1989-15840-0
PII:
S 0273-0979(1989)15840-0
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