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Journal Article
Continuous-Trace Groupoid C*-Algebras. III
Paul S. Muhly, Jean N. Renault and Dana P. Williams
Transactions of the American Mathematical Society
Vol. 348, No. 9 (Sep., 1996), pp. 3621-3641
Published
by: American Mathematical Society
https://www.jstor.org/stable/2155247
Page Count: 21
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Topics: Isotropy, Second countable spaces, Mathematical theorems, Haar measures, Homomorphisms, Quotients, Continuous functions, Series convergence
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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.
Transactions of the American Mathematical Society
© 1996 American Mathematical Society