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Functoriality of Rieffel’s generalised fixed-point algebras for proper actions

Functoriality of Rieffel’s generalised fixed-point algebras for proper actions

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 …