Operator algebras and subproduct systems arising from stochastic matrices

DOI10.1016/j.jfa.2014.05.004zbMath1305.47047arXiv1401.7032OpenAlexW2090692382MaRDI QIDQ2253160

Daniel Markiewicz, Adam Dor-On

Publication date: 25 July 2014

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.7032

zbMATH Keywords

Cuntz-Pimsner algebrastochastic matrixtensor algebrasubproduct system

Mathematics Subject Classification ID

Markov chains (discrete-time Markov processes on discrete state spaces) (60J10) (C^*)-modules (46L08) Noncommutative dynamical systems (46L55) Abstract operator algebras on Hilbert spaces (47L30) Stochastic matrices (15B51) Derivations, dissipations and positive semigroups in (C^*)-algebras (46L57)

Related Items (11)

C*-envelopes of tensor algebras arising from stochastic matrices ⋮ Operator algebras of monomial ideals in noncommuting variables ⋮ CP-semigroups and dilations, subproduct systems and superproduct systems: the multi-parameter case and beyond ⋮ Isomorphisms of tensor algebras arising from weighted partial systems ⋮ Detailed balance as a quantum-group symmetry of Kraus operators ⋮ Crossed Products of Operator Algebras ⋮ Classification of irreversible and reversible Pimsner operator algebras ⋮ Toeplitz quotient \(C^*\)-algebras and ratio limits for random walks ⋮ Algebras of bounded noncommutative analytic functions on subvarieties of the noncommutative unit ball ⋮ Doob equivalence and non-commutative peaking for Markov chains ⋮ Essential normality, essential norms and hyperrigidity

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