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

Access to Document

10.4153/CJM-2014-039-xLicence: Unspecified

Cite this

@article{9878b4e2b4514be0958c579793ba2cc1,

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 ",

author = "Archbold, \{Robert J\} and \{an Huef\}, Astrid",

year = "2015",

month = jun,

day = "1",

doi = "10.4153/CJM-2014-039-x",

language = "English",

volume = "67",

pages = "481--506",

journal = "Canadian journal of mathematics. Journal canadien de math{\'e}matiques",

issn = "0008-414X",

publisher = "Cambridge University Press",

number = "3",

}

TY - JOUR

T1 - The C*-algebras of compact transformation groups

AU - Archbold, Robert J

AU - an Huef, Astrid

PY - 2015/6/1

Y1 - 2015/6/1

N2 - 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.

AB - 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.

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

U2 - 10.4153/CJM-2014-039-x

DO - 10.4153/CJM-2014-039-x

M3 - Article

SN - 0008-414X

VL - 67

SP - 481

EP - 506

JO - Canadian journal of mathematics. Journal canadien de mathématiques

JF - Canadian journal of mathematics. Journal canadien de mathématiques

IS - 3

ER -

The C*-algebras of compact transformation groups

Abstract

Keywords

Access to Document

Fingerprint

Cite this