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- W2949145936 abstract "Let (A,G,alpha) be a partial dynamical system. We show that there is a bijective correspondence between G-invariant ideals of A and ideals in the partial crossed product A xr G provided the action is exact and residually topologically free. Assuming, in addition, a technical condition---automatic when A is abelian---we show that A xr G is purely infinite if and only if the positive nonzero elements in A are properly infinite in A xr G. As an application we verify pure infiniteness of various partial crossed products, including realisations of the Cuntz algebras O_n, O_A, O_N, and O_Z as partial crossed products." @default.
- W2949145936 created "2019-06-27" @default.
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- W2949145936 date "2013-03-19" @default.
- W2949145936 modified "2023-09-27" @default.
- W2949145936 title "Purely infinite partial crossed products" @default.
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