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Regularity of induced representations and a theorem of Quigg and Spielberg

Published online by Cambridge University Press:  30 September 2002

ASTRID AN HUEF  and
IAIN RAEBURN
ASTRID AN HUEF
Affiliation:
School of Mathematics, University of New South Wales, Sydney, NSW 2052, Australia. e-mail: [email protected]
IAIN RAEBURN
Affiliation:
Department of Mathematics, University of Newcastle, NSW 2308, Australia. e-mail: [email protected]
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Abstract

Mackey's imprimitivity theorem characterizes the unitary representations of a locally compact group G which have been induced from representations of a closed subgroup K; Rieffel's influential reformulation says that the group C*-algebra C*(K) is Morita equivalent to the crossed product C0(G/K)×G [14]. There have since been many important generalizations of this theorem, especially by Rieffel [15, 16] and by Green [3, 4]. These are all special cases of the symmetric imprimitivity theorem of [11], which gives a Morita equivalence between two crossed products of induced C*-algebras.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 133 , Issue 2 , September 2002 , pp. 249 - 259
Copyright
2002 Cambridge Philosophical Society

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