Representations of Twisted Group Algebras

Robert C. Busby; Harvey A. Smith

doi:10.1090/S0002-9947-1970-0264418-8

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Representations of Twisted Group Algebras

Journal article

Peer reviewed

Representations of Twisted Group Algebras

Robert C. Busby and Harvey A. Smith

Transactions of the American Mathematical Society, v 149(2), pp 503-537

01 Feb 1970

DOI: https://doi.org/10.1090/S0002-9947-1970-0264418-8

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Abstract

Algebra

Automorphisms

Haar measures

Hilbert spaces

Homomorphisms

Mathematical functions

Mathematical theorems

Regional identity

Von Neumann algebra

We construct a general class of Banach algebras which include as special cases the group algebra of a locally compact group, the group algebra of a group extension (in terms of the subgroup and quotient group), and some other examples, special cases of which have been studied under the name of covariance algebras. We develop the general representation theory and generalize Mackey's theory of induced representations.

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Title: Representations of Twisted Group Algebras
Creators: Robert C. Busby
Harvey A. Smith
Publication Details: Transactions of the American Mathematical Society, v 149(2), pp 503-537
Publisher: American Mathematical Society
Resource Type: Journal article
Language: English
Academic Unit: [Retired Faculty]
Scopus ID: 2-s2.0-0000908661
Other Identifier: 991021862407304721

Representations of Twisted Group Algebras

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Abstract

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