On topological Frobenius reciprocity for locally compact groups

1987 ◽  
Vol 48 (4) ◽  
pp. 286-297 ◽  
Author(s):  
Eberhard Kaniuth
Keyword(s):  
Locally Compact Groups ◽  
Compact Groups ◽  
Locally Compact ◽  
Frobenius Reciprocity

scholarly journals Induction and restriction as adjoint functors on representations of locally compact groups

1993 ◽  
Vol 16 (1) ◽  
pp. 61-66
Author(s):  
Robert A. Bekes ◽  
Peter J. Hilton
Keyword(s):  
Reciprocity Theorem ◽  
Point Of View ◽  
Locally Compact Groups ◽  
Compact Groups ◽  
Adjoint Functors ◽  
Locally Compact ◽  
Frobenius Reciprocity ◽  
Theoretic Point

In this paper the Frobenius Reciprocity Theorem for locally compact groups is looked at from a category theoretic point of view.

On the Lp-conjecture for locally compact groups

2007 ◽  
Vol 89 (3) ◽  
pp. 237-242 ◽  
Author(s):  
F. Abtahi ◽  
R. Nasr-Isfahani ◽  
A. Rejali
Keyword(s):  
Locally Compact Groups ◽  
Compact Groups ◽  
Locally Compact

Ergodic actions of group extensions on von Neumann algebras

1989 ◽  
Vol 112 (1-2) ◽  
pp. 71-112
Author(s):  
Klaus Thomsen
Keyword(s):  
Fixed Point ◽  
Von Neumann Algebras ◽  
Locally Compact Group ◽  
Locally Compact Groups ◽  
Compact Groups ◽  
Locally Compact ◽  
Von Neumann ◽  
Finite Dimensional ◽  
Fixed Point Algebra ◽  
Atomic Centre

SynopsisWe consider automorphic actions on von Neumann algebras of a locally compact group E given as a topological extension 0 → A → E → G → 0, where A is compact abelian and second countable. Motivated by the wish to describe and classify ergodic actions of E when G is finite, we classify (up to conjugacy) first the ergodic actions of locally compact groups on finite-dimensional factors and then compact abelian actions with the property that the fixed-point algebra is of type I with atomic centre. We then handle the case of ergodic actions of E with the property that the action is already ergodic when restricted to A, and then, as a generalisation, the case of (not necessarily ergodic) actions of E with the property that the restriction to A is an action with abelian atomic fixed-point algebra. Both these cases are handled for general locally compact-countable G. Finally, we combine the obtained results to classify the ergodic actions of E when G is finite, provided that either the extension is central and Hom (G, T) = 0, or G is abelian and either cyclic or of an order not divisible by a square.

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