Continuous-trace groupoid ð¶*-algebras. III

Paul S Muhly; Jean N Renault; Dana P Williams

doi:10.1090/S0002-9947-96-01610-8

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Continuous-trace groupoid ð¶*-algebras. III

Journal article

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Continuous-trace groupoid ð¶*-algebras. III

Paul S Muhly, Jean N Renault and Dana P Williams

Transactions of the American Mathematical Society, Vol.348(9), pp.3621-3641

1996

DOI: 10.1090/S0002-9947-96-01610-8

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Abstract

Suppose that G is a second countable locally compact groupoid with a Haar system and with abelian isotropy. We show that the groupoid C*-algebra C* (G, λ) has continuous trace if and only if there is a Haar system for the isotropy groupoid A and the action of the quotient groupoid G/A is proper on the unit space of G. © 1996 American Mathematical Society.

Details

Title: Subtitle: Continuous-trace groupoid ð¶*-algebras. III
Creators: Paul S Muhly
Jean N Renault
Dana P Williams
Resource Type: Journal article
Publication Details: Transactions of the American Mathematical Society, Vol.348(9), pp.3621-3641
DOI: 10.1090/S0002-9947-96-01610-8
ISSN: 0002-9947
eISSN: 1088-6850
Publisher: American Mathematical Society
Language: English
Date published: 1996
Academic Unit: Statistics and Actuarial Science; Mathematics
Record Identifier: 9984083862502771

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