CONTINUOUS-TRACE GROUPOID C-ASTERISK-ALGEBRAS .3.

Authors
MUHLY PS RENAULT JN WILLIAMS DP
Citation
Ps. Muhly et al., CONTINUOUS-TRACE GROUPOID C-ASTERISK-ALGEBRAS .3., Transactions of the American Mathematical Society, 348(9), 1996, pp. 3621-3641
Citations number
20
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Transactions of the American Mathematical Society → ACNP
ISSN journal
00029947
Volume
348
Issue
9
Year of publication
1996
Pages
3621 - 3641
Database
ISI
SICI code
0002-9947(1996)348:9<3621:CGC.>2.0.ZU;2-C
Abstract
Suppose that G is a second countable locally compact groupoid with a H aar system and with abelian isotropy. We show that the groupoid C-alg ebra C (G,lambda) has continuous trace if and only if there is a Haar system for the isotropy goupoid A and the action of the quotient grou poid G/A is proper on the unit space of G.