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arXiv · 1109.4073

The structure of crossed products by endomorphisms

Eduard Ortega·Enrique Pardo
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Abstract

We describe simplicity of the Stacey crossed product A\times_β\N in terms of conditions of the endomorphism β. Then, we use a characterization of the graph C*-algebras C*(E) as the Stacey crossed product C*(E)^γ\times_{β_E}\N to study its ideal properties, in terms of the (non-classical) C*-dynamical system (C*(E)^γ, β_E). Finally, we give sufficient conditions for the Stacey crossed product A\times_β\N being a purely infinite simple C*-algebra.

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Eduard Ortega, Enrique Pardo. 2011-09-19. The structure of crossed products by endomorphisms. https://arxiv.org/abs/1109.4073

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