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

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

2006-04-25

arxiv.org/abs/math/0604544v1

Mathematics

Operator Algebras

To appear Houston Journal of Mathematics

Scientific paper

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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