92 citations · 219 across the 20 of their papers we have counts for
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Applications of the Wold decomposition to the study of row contractions associated with directed graphs
Elias Katsoulis, David W. Kribs
Based on a Wold decomposition for families of partial isometries and projections of Cuntz-Krieger-Toeplitz-type, we extend several fundamental theorems from the case of single vert…
Ideal Structure in Free Semigroupoid Algebras from Directed Graphs
Michael T. Jury, David W. Kribs
A free semigroupoid algebra is the weak operator topology closed algebra generated by the left regular representation of a directed graph. We establish lattice isomorphisms between…
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…
Quantum Channels, Wavelets, Dilations and Representations of
David W. Kribs
We show that the representations of the Cuntz C-algebras which arise in wavelet analysis and dilation theory can be classified through a simple analysis of completely…
The Curvature Invariant of a Non-commuting -tuple
David W. Kribs
Non-commutative versions of Arveson's curvature invariant and Euler characteristic for a commuting -tuple of operators are introduced. The non-commutative curvature invariant is…
Factoring in Non-commutative Analytic Toeplitz Algebras
David W. Kribs
The non-commutative analytic Toeplitz algebra is the weak operator topology closed algebra generated by the left regular representation of the free semigroup on generators. The…