Vol. 82, No. 2, 1979

Recent Issues
Vol. 307: 1  2
Vol. 306: 1  2
Vol. 305: 1  2
Vol. 304: 1  2
Vol. 303: 1  2
Vol. 302: 1  2
Vol. 301: 1  2
Vol. 300: 1  2
Online Archive
Volume:
Issue:
     
The Journal
Editorial Board
Subscriptions
Officers
Special Issues
Submission Guidelines
Submission Form
Contacts
ISSN: 1945-5844 (e-only)
ISSN: 0030-8730 (print)
Author Index
To Appear
 
Other MSP Journals
Weak Frobenius reciprocity and compactness conditions in topological groups

Rolf Wim Henrichs

Vol. 82 (1979), No. 2, 387–406
Abstract

We study weak containment relations between unitary representations of a locally compact group G and closed subgroups H. We prove that certain weak Frobenius properties and compactness conditions are equivalent. Moreover, for amenable G having small invariant neighborhoods at e weak Frobenius reciprocity (FP) defined by Fell holds for the pair (G,H) if every element of H has relatively compact conjugacy class in G.

Mathematical Subject Classification 2000
Primary: 22D10
Secondary: 22D30
Milestones
Received: 1 December 1977
Revised: 16 October 1978
Published: 1 June 1979
Authors
Rolf Wim Henrichs