Purely infinite simple 𝐶*-crossed products

Jeong, Ja A

doi:10.1090/S0002-9939-1995-1273502-4

Purely infinite simple $C^ \ast$-crossed products
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Proc. Amer. Math. Soc. 123 (1995), 3075-3078 Request permission

Abstract:

Let $\alpha$ be an outer action by a finite group G on a simple ${C^ \ast }$-algebra A with $RR(A) = 0$. If A is purely infinite, then the ${C^ \ast }$-crossed product $A{ \times _\alpha }G$ is purely infinite. The converse is also true if G is a finite abelian group.

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