CCR and GCR Groupoid C*-algebras

Details CCR and GCR Groupoid C*-algebras CCR and GCR Groupoid C*-algebras

2005-11-17

arxiv.org/abs/math/0511449v1

Mathematics

Operator Algebras

Scientific paper

Suppose $G$ is a second countable, locally compact, Hausdorff groupoid with a fixed left Haar system. Let $\go/G$ denote the orbit space of $G$ and $C^*(G)$ denote the groupoid $C^*$-algebra. Suppose that the isotropy groups of $G$ are amenable. We show that $C^*(G)$ is CCR if and only if $\go/G$ is a $T_1$ topological space and all of the isotropy groups are CCR. We also show that $C^*(G)$ is GCR if and only if $\go/G$ is a $T_0$ topological space and all of the isotropy groups are GCR.

Affiliated with

Also associated with

No associations

Rating

CCR and GCR Groupoid C*-algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with CCR and GCR Groupoid C*-algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and CCR and GCR Groupoid C*-algebras will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-588335