Simplicity of crossed products of 𝐶*-algebras

Jang, Sun Young; Lee, Sa Ge

doi:10.1090/S0002-9939-1993-1132413-3

Simplicity of crossed products of $C^ *$-algebras
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by Sun Young Jang and Sa Ge Lee PDF

Proc. Amer. Math. Soc. 118 (1993), 823-826 Request permission

Abstract:

Let $(A,G,\alpha )$ be a ${C^{\ast }}$-dynamical system and let $G$ be a discrete group. When $G$ is a cental shift in $(A,G,\alpha )$, we show that $A$ is $G$-simple (resp. $G$-prime) if and only if the ${C^{\ast }}$-crossed product $A \times {}_\alpha G$ is simple (resp. prime).

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