Imprimitivity for $C^*$-Coactions of Non-Amenable Groups

Details Imprimitivity for $C^*$-Coactions of Non-Amenable Groups Imprimitivity for $C^*$-Coactions of Non-Amenable Groups

1996-02-07

arxiv.org/abs/funct-an/9602003v2

Mathematics

Operator Algebras

23 pages, LaTeX 2e, requires amscd.sty and pb-diagram.sty. Revisions include deletion of false Lemma 2.3 and amendment of proo

Scientific paper

We give a condition on a full coaction $(A,G,\delta)$ of a (possibly) nonamenable group $G$ and a closed normal subgroup $N$ of $G$ which ensures that Mansfield imprimitivity works; i.e. that $A\times_{\delta{\vert}} G/N$ is Morita equivalent to $A\times_\delta G\times_{\deltahat,r} N$. This condition obtains if $N$ is amenable or $\delta$ is normal. It is preserved under Morita equivalence, inflation of coactions, the stabilization trick of Echterhoff and Raeburn, and on passing to twisted coactions.

Affiliated with

Also associated with

No associations

Rating

Imprimitivity for $C^*$-Coactions of Non-Amenable Groups 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 Imprimitivity for $C^*$-Coactions of Non-Amenable Groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Imprimitivity for $C^*$-Coactions of Non-Amenable Groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-377606