The C*-algebras of compact transformation groups

Robert J Archbold; Astrid an Huef

doi:10.4153/CJM-2014-039-x

The C*-algebras of compact transformation groups

Robert J Archbold, Astrid an Huef

Mathematical Science

University of Otago

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

We investigate the representation theory of the crossed-product C*-algebra associated to a compact group G acting on a locally compact Hausdorff space X when the stability subgroups vary discontinuously.

Original language	English
Pages (from-to)	481-506
Number of pages	26
Journal	Canadian journal of mathematics. Journal canadien de mathématiques
Volume	67
Issue number	3
Early online date	3 Mar 2015
DOIs	https://doi.org/10.4153/CJM-2014-039-x
Publication status	Published - 1 Jun 2015

Keywords

compact transformation group
proper action
spectrum of a C*-algebra
multiplicity of a representation
crossed-product C*-algebra
continuous-trace C*-algebra
Fell algebra

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title = "The C*-algebras of compact transformation groups",

abstract = "We investigate the representation theory of the crossed-product C*-algebra associated to a compact group G acting on a locally compact Hausdorff space X when the stability subgroups vary discontinuously.",

keywords = " compact transformation group , proper action, spectrum of a C*-algebra, multiplicity of a representation, crossed-product C*-algebra, continuous-trace C*-algebra, Fell algebra ",

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KW - compact transformation group

KW - proper action

KW - spectrum of a C-algebra

KW - multiplicity of a representation

KW - crossed-product C-algebra

KW - continuous-trace C-algebra

KW - Fell algebra

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JF - Canadian journal of mathematics. Journal canadien de mathématiques

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The C*-algebras of compact transformation groups

Abstract

Keywords

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