92 citations · 104 across the 6 of their papers we have counts for
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The algebras of higher rank graphs
David W. Kribs, Stephen C. Power
We begin the study of a new class of operator algebras that arise from higher rank graphs. Every higher rank graph generates a Fock space Hilbert space and creation operators which…
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…
Partly Free Algebras from Directed Graphs
David W. Kribs, Stephen C. Power
We say that a nonselfadjoint operator algebra is partly free if it contains a free semigroup algebra. Motivation for such algebras occurs in the setting of what we call free semigr…
Free Semigroupoid Algebras
David W. Kribs, Stephen C. Power
Every countable directed graph generates a Fock space Hilbert space and a family of partial isometries. These operators also arise from the left regular representations of free sem…
On the uniqueness of AF diagonals in regular limit algebras
P. A. Haworth, Stephen Power
Necessary and sufficient conditions are obtained for the uniqueness of standard regular AF masas in regular limit algebras up to approximate inner unitary equivalence.
Limits of Finite Dimensional Nest Algebras
Alan Hopenwasser, Stephen C. Power
We introduce order conserving embeddings as a more general form of order preserving embeddings between finite dimensional nest algebras. The structure of these embeddings is determ…