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Representations of triangular subalgebras of groupoid C*-algebras

Part of: Selfadjoint operator algebras Groupoids Topological (rings and) algebras with an involution

Published online by Cambridge University Press:  09 April 2009

Paul S. Muhly  and
Baruch Solel
Paul S. Muhly
Affiliation:
Department of Mathematics University of IowaIowa City, IA 52242, USA
Baruch Solel
Affiliation:
Department of Mathematics Technion-Israel Institute of Technology Haifa 32000, Israel
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Abstract

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We investigate the invariant subspace structure of subalgebras of groupoid C*-algebras that are determined by automorphism groups implemented by cocycles on the groupoids. The invariant subspace structure is intimately tied to the asymptotic behavior of the cocycle.

MSC classification

Secondary: 46K50: Nonselfadjoint (sub)algebras in algebras with involution 46L40: Automorphisms 20L99: None of the above, but in this section
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 61 , Issue 3 , December 1996 , pp. 289 - 321
Copyright
Copyright © Australian Mathematical Society 1996

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