Renault's Equivalence Theorem for Reduced Groupoid C*-algebras

Details Renault's Equivalence Theorem for Reduced Groupoid C*-algebras Renault's Equivalence Theorem for Reduced Groupoid C*-algebras

2010-02-16

arxiv.org/abs/1002.3093v2

Mathematics

Operator Algebras

14 Pages, added references with minor changes to the introduction and the end of section one

Scientific paper

We use the technology of linking groupoids to show that equivalent groupoids
have Morita equivalent reduced C*-algebras. This equivalence is compatible in a
natural way in with the Equivalence Theorem for full groupoid C*-algebras.

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