Journal article
On a theorem of Fell
Proceedings of the American Mathematical Society, v 30(1)
01 Jan 1971
Abstract
Fell has proved that the process of inducing representations of a locally compact group from representations of closed subgroups is a continuous process if topologies are defined on the spaces of representations in the right way. As a corollary he shows that inducing preserves weak containment. This paper generalizes Fell’s results to twisted group algebras. These algebras generalize the idea of the group algebra of a group extension, and the concept of induced representation extends in a natural way. We show that Fell’s results will hold if the “cocycle pair” defining the twisting of the algebra is sufficiently continuous.
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Details
- Title
- On a theorem of Fell
- Creators
- Robert C. Busby
- Publication Details
- Proceedings of the American Mathematical Society, v 30(1)
- Publisher
- American Mathematical Society
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- [Retired Faculty]
- Web of Science ID
- WOS:A1971K135300030
- Scopus ID
- 2-s2.0-84968487589
- Other Identifier
- 991019173725004721