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

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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.
To appear Houston Journal of Mathematics

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Operator Algebras, 46L05; 47L35; 46L06

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http://salesiana.dossiersoluciones.com/handle/123456789/111690

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0604544
 http://arxiv.org/abs/math/0604544

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arXiv