14 citations · 38 across the 14 of their papers we have counts for
14 papers
Partial Crossed Product Presentations For and Using Amenable Groups
Alan Hopenwasser
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 group…
The Spectral Theorem for Bimodules in Higher Rank Graph C*-algebras
Alan Hopenwasser
In this note we extend the spectral theorem for bimodules to the higher rank graph C*-algebra context. Under the assumption that the graph is row finite and has no sources, we show…
Subalgebras of Graph C*-Algebras
Alan Hopenwasser, Jurtin R. Peters, Stephen C. Power
We prove a spectral theorem for bimodules in the context of graph C*-algebras. A bimodule over a suitable abelian algebra is determined by its spectrum (i.e., its groupoid partial…
Analytic Partial Crossed Products
Allan P. Donsig, Alan Hopenwasser
Partial actions of discrete abelian groups can be used to construct both groupoid C*-algebras and partial crossed product algebras. In each case there is a natural notion of an ana…
Subalgebras of the Cuntz C^*-Algebra
Alan Hopenwasser, Justin R. Peters
In this paper we exploit the fact that a Cuntz C-algebra is a groupoid C-algebra to facilitate the study of non-self-adjoint subalgebras of . The Cuntz groupoid is not…
Lie Ideals in Operator Algebras
Alan Hopenwasser, Vern Paulsen
Let be a Banach algebra for which the group of invertible elements is connected. A subspace is a Lie ideal in if, and on…