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

Alan Hopenwasser

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

Operator Algebras 2007-05-23 v1

Authors: Alan Hopenwasser

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.

Keywords

crossed products partial actions

Cite

@article{arxiv.math/0604544,
  title  = {Partial Crossed Product Presentations For $O_n$ and $M_k(O_n)$ Using Amenable Groups},
  author = {Alan Hopenwasser},
  journal= {arXiv preprint arXiv:math/0604544},
  year   = {2007}
}

Comments

To appear Houston Journal of Mathematics

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