Generalized fixedpoint algebras of certain actions on crossed products
Abstract
Let G and H be two locally compact groups acting on a C*algebra A by commuting actions. We construct an action on the crossed product AXG out of a unitary 2cocycle u and the action of H on A. For A commutative, and free and proper actions of G and H, we show that if the roles of these two actions are reversed, and u is replaced by u*, then the corresponding generalized fixedpoint algebras, in the sense of Rieffel, are strongMorita equivalent. We apply this result to the computation of the Ktheory of quantum Heisenberg manifolds.
 Publication:

arXiv eprints
 Pub Date:
 January 1993
 arXiv:
 arXiv:functan/9301005
 Bibcode:
 1993funct.an..1005A
 Keywords:

 Mathematics  Functional Analysis;
 Mathematics  Operator Algebras
 EPrint:
 23 pages, LaTeX format, BA9302