Approximation Properties for Crossed Products by Actions and Coactions

Details Approximation Properties for Crossed Products by Actions and Coactions Approximation Properties for Crossed Products by Actions and Coactions

2001-07-10

arxiv.org/abs/math/0107074v1

Mathematics

Operator Algebras

17 pages, latex file, Internat. J. Math. to appear

Scientific paper

We investigate approximation properties for $C^*$-algebras and their crossed products by actions and coactions by locally compact groups. We show that Haagerup's approximation constant is preserved for crossed products by arbitrary amenable groups, and we show why this is not always true in the non-amenable case. We also examine similar questions for other forms of the approximation property.

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