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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
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
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
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
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
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.
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
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
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