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Publications Influence

Tensor Algebras overC*-Correspondences: Representations, Dilations, andC*-Envelopes☆

Tensor algebras overC*-correspondences are noncommutative generalizations of the disk algebra. They contain, as special cases, analytic crossed products, semi-crossed products, and Popescu's… Expand

231 33

Adding tails to C*-correspondences

- P. Muhly, M. Tomforde
- Mathematics
- 19 December 2002

We describe a method of adding tails to C*-correspondences which generalizes the process used in the study of graph C*-algebras. We show how this technique can be used to extend results for augmented… Expand

59 13- PDF

On Isometries of Operator Algebras

We study the Banach space isometries of triangular subalgebras of C*-algebras that contain diagonals in the sense of Kumjian. Under a mild technical assumption, we prove that every isometry between… Expand

100 10

On the Morita Equivalence of Tensor Algebras

Our objective is two fold. First, we want to develop a notion of Morita equivalence for C-correspondences that guarantees that if two C-correspondences E and F are Morita equivalent, then the tensor… Expand

92 9- PDF

Topological Quivers

- P. Muhly, M. Tomforde
- Mathematics
- 4 December 2003

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 is a… Expand

38 9- PDF

QUANTUM MARKOV PROCESSES (CORRESPONDENCES AND DILATIONS)

We study the structure of quantum Markov Processes from the point of view of product systems and their representations.

89 9- PDF

Tensor Algebras, Induced Representations, and the Wold Decomposition

Our objective in this sequel to (18) is to develop extensions, to representations of tensor algebras over C � -correspondences, of two fundamental facts about isometries on Hilbert space: The Wold… Expand

76 8- PDF

Categories of Operator Modules: Morita Equivalence and Projective Modules

- D. Blecher, P. Muhly, V. Paulsen
- Mathematics
- 1 December 1999

Introduction Preliminaries Morita contexts Duals and projective modules Representations of the linking algebra $C^*$-algebras and Morita contexts Stable isomorphisms Examples Appendix-More recent… Expand

86 8

Hardy algebras, W*-correspondences and interpolation theory

Abstract.Given a von Neumann algebra M and a W*-correspondence E over M, we construct an algebra H∞(E) that we call the Hardy algebra of E. When M= =E, H∞(E) is the classical Hardy space H∞ of… Expand

98 6- PDF