Partial Crossed Product Presentations For On and Mk(On) Using Amenable Groups
Alan Hopenwasser
Abstract
The Cuntz algebra On 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 On and connections are made with non-self-adjoint subalgebras of On, particularly the Volterra nest subalgebra. These ideas are also extended to the Mk(On) context.
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