56 citations · 58 across the 11 of their papers we have counts for
5 papers · 1 filter
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…