Journal article
Compact Induced Representations
Canadian journal of mathematics, v 24(1), pp 5-16
01 Feb 1972
Abstract
In [15; 16; 17], Horst Leptin introduced what he called generalized group algebras. These Banach *-algebras are formed by letting a locally compact group G act on a Banach *-algebra A both by *-automorphisms and by a cocycle with values in the multiplier algebra, M (A ), of A. We will review the precise construction later, but for now we remark that examples include the group algebra of a group extension, the covariance algebras of quantum field theory, the “projective group algebras” of a group G (that is, for each complex-valued cocycle λ, called a multiplier in the literature, the Banach *-algebra whose nondegenerate *-representations are in bijective correspondence with the λ-projective representations of G), and the twisted group algebras of Edwards and Lewis [8; 9].
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Details
- Title
- Compact Induced Representations
- Creators
- Robert C. Busby - Drexel UniversityIrwin Schochetman - Oakland University
- Publication Details
- Canadian journal of mathematics, v 24(1), pp 5-16
- Publisher
- Cambridge University Press
- Number of pages
- 12
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- [Retired Faculty]
- Web of Science ID
- WOS:A1972L864900002
- Other Identifier
- 991021862301204721