Bulletin of the American Mathematical Society

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Book Information:

Authors: 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.

Robert J. Blattner, On induced representations, Amer. J. Math. 83 (1961), 79–98. MR 125456, DOI 10.2307/2372722

J. M. G. Fell, An extension of Mackey’s method to Banach $^{\ast }$ algebraic bundles, Memoirs of the American Mathematical Society, No. 90, American Mathematical Society, Providence, R.I., 1969. MR 0259619

J. M. G. Fell, Induced representations and Banach $^*$-algebraic bundles, Lecture Notes in Mathematics, Vol. 582, Springer-Verlag, Berlin-New York, 1977. With an appendix due to A. Douady and L. Dal Soglio-Hérault. MR 0457620

4.

G. Frobenius, Über Relationen Zwischen den Charakteren einer Gruppe und denen ihrer Untergruppen, Sitzber. Preuss. Akad. Wiss. (1898), 501-515.

L. H. Loomis, Positive definite functions and induced representations, Duke Math. J. 27 (1960), 569–579. MR 148798

George W. Mackey, Imprimitivity for representations of locally compact groups. I, Proc. Nat. Acad. Sci. U.S.A. 35 (1949), 537–545. MR 31489, DOI 10.1073/pnas.35.9.537

George W. Mackey, On induced representations of groups, Amer. J. Math. 73 (1951), 576–592. MR 42420, DOI 10.2307/2372309

George W. Mackey, Induced representations of locally compact groups. I, Ann. of Math. (2) 55 (1952), 101–139. MR 44536, DOI 10.2307/1969423

George W. Mackey, Unitary representations of group extensions. I, Acta Math. 99 (1958), 265–311. MR 98328, DOI 10.1007/BF02392428

Marc A. Rieffel, Induced representations of $C^{\ast }$-algebras, Advances in Math. 13 (1974), 176–257. MR 353003, DOI 10.1016/0001-8708(74)90068-1

11.

M. Rieffel, Review of induced representations and Banach *-algebraic bundles, Bull. Amer. Math. Soc. (N. S. ) 1 (1979), 232-237.

Masamichi Takesaki, Covariant representations of $C^{\ast }$-algebras and their locally compact automorphism groups, Acta Math. 119 (1967), 273–303. MR 225179, DOI 10.1007/BF02392085

Hermann Weyl, The classical groups, Princeton Landmarks in Mathematics, Princeton University Press, Princeton, NJ, 1997. Their invariants and representations; Fifteenth printing; Princeton Paperbacks. MR 1488158

1.

R. J. Blattner, On induced repressentations, Amer. J. Math. 83 (1961), 79-98. MR 0125456

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