Abstract
We generalize a result of Kamalov and we show that if is an amenable discrete group with an action on a finite nuclear unital -algebra such that the reduced crossed product has property , then is finite and is finite-dimensional. As an application, an infinite discrete group is nonamenable if and only if the corresponding uniform Roe algebra has property .
Citation
Baojie Jiang. Chi-Keung Ng. "Property of reduced -crossed products by discrete groups." Ann. Funct. Anal. 7 (3) 381 - 385, August 2016. https://doi.org/10.1215/20088752-3605762
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