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

• Autores: Alan Hopenwasser
• Localización: Houston journal of mathematics, ISSN 0362-1588, Vol. 33, Nº 3, 2007, págs. 861-876
• Idioma: inglés
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• Resumen

  • 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.