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

Alan Hopenwasser

paper

Partial Crossed Product Presentations For $O_{n}$ and $M_{k} (O_{n})$ Using Amenable Groups

arXiv:math/0604544

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.

To appear Houston Journal of Mathematics

Cited by in corpus (1)

Supramenable groups and partial actions

Partial Crossed Product Presentations For On​ and Mk​(On​) Using Amenable Groups

Abstract

Cited by in corpus (1)

Partial Crossed Product Presentations For $O_{n}$ and $M_{k} (O_{n})$ Using Amenable Groups