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Naturality Of Rieffel's Morita Equivalence For Proper Actions, Astrid An Huef, S Kaliszewski, Iain F. Raeburn, Dana P. Williams

Faculty of Informatics - Papers (Archive)

Suppose that a locally compact group G acts freely and properly on the right of a locally compact space T . Rieffel proved that if is an action of G on a C*-algebra A and there is an equivariant embedding of C₀(T ) in M(A), then the action α of G on A is proper, and the crossed product A⋊_α,rG is Morita equivalent to a generalised fixed-point algebra Fix(A,α ) in M(A)^α. We show that the assignment (A,α) → Fix(A,α ) extends …