9 citations · 23 across the 5 of their papers we have counts for
9 papers
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…
Automatic closure of invariant linear manifolds for operator algebras
Allan Donsig, Alan Hopenwasser, David R. Pitts
Kadison's transitivity theorem implies that, for irreducible representations of C*-algebras, every invariant linear manifold is closed. It is known that CSL algebras have this prop…