Generalized fixed-point algebras of certain actions on crossed products

Details Generalized fixed-point algebras of certain actions on crossed products Generalized fixed-point algebras of certain actions on crossed products

1993-01-28

arxiv.org/abs/funct-an/9301005v1

Mathematics

Operator Algebras

23 pages, LaTeX format, BA-93-02

Scientific paper

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 2-cocycle 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 fixed-point algebras, in the sense of Rieffel, are strong-Morita equivalent. We apply this result to the computation of the K-theory of quantum Heisenberg manifolds.

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