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The Dixmier-Douady class of groupoid crossed products

Part of: Selfadjoint operator algebras

Published online by Cambridge University Press:  09 April 2009

Paul S. Muhly  and
Dana P. Williams
Paul S. Muhly
Affiliation:
Department of Mathematics, University of Iowa, Iowa City,, IA 52242, USA e-mail: [email protected]
Dana P. Williams
Affiliation:
Department of Mathematics, Dartmouth College, Hanover, NH 03755-3551, USA e-mail: [email protected]
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Abstract

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We give a formula for the Dixmier-Douady class of a continuous-trace groupoid crossed product that arises from an action of a locally trivial, proper, principal groupoid on a bundle of elementary C*-algebras that satisfies Fell's condition.

MSC classification

Secondary: 46L05: General theory of $C^*$-algebras 46L55: Noncommutative dynamical systems
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 76 , Issue 2 , April 2004 , pp. 223 - 234
Copyright
Copyright © Australian Mathematical Society 2004

References

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