Continuous-trace groupoid <IMG ALIGN=BOTTOM >-algebras. III期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

Continuous-trace groupoid -algebras. III

Authors:	Paul S Muhly Jean N Renault Dana P Williams

Institution:	Department of Mathematics, University of Iowa Iowa City, Iowa 52242 ; Department of Mathematics, University of Iowa Iowa City, Iowa 52242 - Département de Mathématiques, Université d'Orléans, 45067 Orléans Cedex 2, France ; Department of Mathematics, Dartmouth College, Hanover, New Hampshire 03755-3551

Abstract:	Suppose that ${\mathcal {G}}$ is a second countable locally compact groupoid with a Haar system and with abelian isotropy. We show that the groupoid $C^{\displaystyle }$ -algebra $C^{\displaystyle } ({\mathcal {G}},\lambda )$ has continuous trace if and only if there is a Haar system for the isotropy groupoid ${\mathcal {A}}$ and the action of the quotient groupoid ${\mathcal {G}}/{\mathcal {A}}$ is proper on the unit space of ${\mathcal {G}}$ .

Keywords:	Locally compact groupoid $C^{\displaystyle *}$-algebra continuous trace

	点击此处可从《Transactions of the American Mathematical Society》浏览原始摘要信息
	点击此处可从《Transactions of the American Mathematical Society》下载免费的PDF全文