1 citations · 1 across the 6 of their papers we have counts for
6 papers
Representations of B^a(E)
P. S. Muhly, M. Skeide, B. Solel
We present a short and elegant proof of the complete theory of strict representations of the algebra B^a(E) of all adjointable operators on a Hilbert B-module E by operators on a H…
Cuntz-Pimsner Algebras, Completely Positive Maps and Morita Equivalence
Alberto E. Marrero, Paul S. Muhly
Let be a completely positive map on and let be the associated \emph{GNS}--correspondence. We prove a result that implies, in particular, that the C…
Higher-rank graph C*-algebras: an inverse semigroup and groupoid approach
Cynthia Farthing, Paul S. Muhly, Trent Yeend
We provide inverse semigroup and groupoid models for the Toeplitz and Cuntz-Krieger algebras of finitely aligned higher-rank graphs. Using these models, we prove a uniqueness theor…
Hardy algebras associated with -correspondences (point evaluation and Schur class functions)
Paul S. Muhly, Baruch Solel
This is primarily an exposition of our work on Hardy algebras associated with -correspondences with an emphasis on interpolation results (a generalized Nevanlinna-Pick theorem…
Duality of -correspondences and applications
Paul S. Muhly, Baruch Solel
This is an exposition of our work on the canonical models of representations of Hardy algebras associated with -correspondences. It generalizes the model theory of Sz.-Nagy an…
Topological Quivers
Paul S. Muhly, Mark Tomforde
Topological quivers are generalizations of directed graphs in which the sets of vertices and edges are locally compact Hausdorff spaces. Associated to such a topological quiver Q i…