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

2006/04/25 by Hopenwasser, Alan
#46L05 #46L06 #47L35 #FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/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.

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