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Medientyp:
E-Artikel
Titel:
On a theorem of Fell
Beteiligte:
Busby, Robert C.
Erschienen:
American Mathematical Society (AMS), 1971
Erschienen in:
Proceedings of the American Mathematical Society, 30 (1971) 1, Seite 133-140
Sprache:
Englisch
DOI:
10.1090/s0002-9939-1971-0283583-6
ISSN:
0002-9939;
1088-6826
Entstehung:
Anmerkungen:
Beschreibung:
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.