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Partial Crossed Product Presentations For $O_n$ and $M_k(O_n)$ Using Amenable Groups

Alan Hopenwasser
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Abstract

The Cuntz algebra O_n is presented as a partial crossed product in which an amenable group partially acts on an abelian C*-algebra. The partial action is related to the Cuntz groupoid for O_n and connections are made with non-self-adjoint subalgebras of O_n, particularly the Volterra nest subalgebra. These ideas are also extended to the M_k(O_n) context.

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Alan Hopenwasser. 2006-04-25. Partial Crossed Product Presentations For $O_n$ and $M_k(O_n)$ Using Amenable Groups. https://arxiv.org/abs/math/0604544

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