Extension problems for representations of crossed-product C*-algebras

Mathematics – Operator Algebras

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

Added a proposition and a lemma

Scientific paper

We consider the following problem. Suppose $\alpha$ is an action of a locally compact group $G$ on a $C^*$-algebra $A$, $H$ is a closed subgroup of $G$, and $(\pi,U)$ is a covariant representation of $(A,H,\alpha)$. For which closed subgroups $K$ containing $H$ is there a covariant representation $(\pi,V)$ of $(A,K,\alpha)$ such that $V|_H=U$? We answer this problem by providing a criterion involving the induced representation of $(A,G,\alpha)$. We then consider the dual problem for coactions of locally compact groups.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

Extension problems for representations of crossed-product 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 Extension problems for representations of crossed-product C*-algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Extension problems for representations of crossed-product C*-algebras will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-28364

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.