Approximation Properties for Crossed Products by Actions and Coactions
Operator Algebras
2007-05-23 v1
Abstract
We investigate approximation properties for -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.
Keywords
Cite
@article{arxiv.math/0107074,
title = {Approximation Properties for Crossed Products by Actions and Coactions},
author = {May Nilsen and Roger Smith},
journal= {arXiv preprint arXiv:math/0107074},
year = {2007}
}
Comments
17 pages, latex file, Internat. J. Math. to appear