Functoriality of Rieffel's Generalised Fixed-Point Algebras for Proper Actions

Details Functoriality of Rieffel's Generalised Fixed-Point Algebras for Proper Actions Functoriality of Rieffel's Generalised Fixed-Point Algebras for Proper Actions

2009-09-15

arxiv.org/abs/0909.2860v1

Mathematics

Operator Algebras

16 Pages

Scientific paper

We consider two categories of C*-algebras; in the first, the isomorphisms are ordinary isomorphisms, and in the second, the isomorphisms are Morita equivalences. We show how these two categories, and categories of dynamical systems based on them, crop up in a variety of C*-algebraic contexts. We show that Rieffel's construction of a fixed-point algebra for a proper action can be made into functors defined on these categories, and that his Morita equivalence then gives a natural isomorphism between these functors and crossed-product functors. These results have interesting applications to non-abelian duality for crossed products.

Affiliated with

Also associated with

No associations

Rating

Functoriality of Rieffel's Generalised Fixed-Point Algebras for Proper Actions 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 Functoriality of Rieffel's Generalised Fixed-Point Algebras for Proper Actions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Functoriality of Rieffel's Generalised Fixed-Point Algebras for Proper Actions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-556383