Tensor algebras of subproduct systems and noncommutative function theory

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Noncommutative function spaces (46L52) Algebras of specific types of operators (Toeplitz, integral, pseudodifferential, etc.) (47L80)

Cites Work

Aspects of non-commutative function theory
Subproduct systems over \(\mathbb N \times \mathbb N\)
The isomorphism problem for some universal operator algebras
Topological isomorphisms for some universal operator algebras
Subproduct systems
Nevanlinna-Pick interpolation for non-commutative analytic Toeplitz algebras
Tensor algebras over \(C^*\)-correspondences: Representations, dilations, and \(C^*\)-envelopes
Subalgebras of \(C^*\)-algebras. III: Multivariable operator theory
The algebraic structure of non-commutative analytic Toeplitz algebras
Complete Nevanlinna-Pick kernels
C*-envelopes of tensor algebras arising from stochastic matrices
Covariant representations of subproduct systems: invariant subspaces and curvature
On fixed points of self maps of the free ball
Functional calculus for noncommuting operators
Noncommutative interpolation and Poisson transforms
Doob equivalence and non-commutative peaking for Markov chains
Embedding dimension of the Dirichlet space
Operator algebras and subproduct systems arising from stochastic matrices
Multipliers of embedded discs
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Operator algebras of monomial ideals in noncommuting variables
On the Morita equivalence of tensor algebras.
Conjugate dynamical systems on \(C^*\)-algebras
Cuntz-Pimsner algebras for subproduct systems
Foundations of Free Noncommutative Function Theory
Dilations of CP-maps commuting according to a graph
Covariant representations of subproduct systems
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On C*-Algebras Associated with Subshifts
On the Isomorphism Problem for Multiplier Algebras of Nevanlinna-Pick Spaces
Algebras of bounded noncommutative analytic functions on subvarieties of the noncommutative unit ball
Introduction to Dynamical Systems
Non-commutative disc algebras and their representations
Gysin sequences and SU(2)‐symmetries of C∗‐algebras
Interacting Fock spaces and subproduct systems
Functional Analysis, Harmonic Analysis, and Image Processing
Operator theory on noncommutative varieties
CP-semigroups and dilations, subproduct systems and superproduct systems: the multi-parameter case and beyond