The approximation property and exactness of locally compact groups
نویسندگان
چکیده
We extend a theorem of Haagerup and Kraus in the C*-algebra context: for locally compact group with approximation property (AP), reduced C*-crossed product construction preserves strong operator (SOAP). In particular their C*-algebras have SOAP. Our method also solves another open problem: AP implies exactness general groups.
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ژورنال
عنوان ژورنال: Journal of The Mathematical Society of Japan
سال: 2021
ISSN: ['1881-1167', '0025-5645']
DOI: https://doi.org/10.2969/jmsj/83368336