Resumen de Partial crossed product presentations for On and Mk(On) using amenable groups

Alan Hopenwasser

• 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 context of matrix algebras Mk(On) over the Cuntz algebra.