Markov semigroups on \(C^*\)-bundles

DOI10.1016/0022-1236(89)90037-2zbMath0694.46049OpenAlexW2033715261MaRDI QIDQ909205

E. Brian Davies, Oscar S. Rothaus

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0022-1236(89)90037-2

zbMATH Keywords

traceClifford algebrascompact Riemannian manifoldconnectionBochner LaplacianClifford bundlescomplete-positivity preservingcompletely positive vector bundlefinite-dimensional real \(C^*\)-algebraH-harmonic elementsHilbert space tensor productJordan spin algebranon-commutative theory of symmetric Markov semigroups and Dirichlet forms on vector bundlessymmetric (sub-)Markov semigroups of operators

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Markov semigroups and applications to diffusion processes (47D07) Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Structure theory for Jordan algebras (17C10)

Related Items

Noncommutative potential theory: a survey ⋮ Dirichlet Forms on Noncommutative Spaces ⋮ Derivations as square roots of Dirichlet forms ⋮ The emergence of noncommutative potential theory ⋮ The characterization of a class of quantum Markov semigroups and the associated operator-valued Dirichlet forms based on Hilbert \(W^\ast\)-module ⋮ A BLW inequality for vector bundles and applications to spectral bounds ⋮ The characterization of a class of quantum Markov semigroups and the associated operator-valued Dirichlet forms based on Hilbert \(C^*\)-module \(l_{2}(A)\) ⋮ Non-commutative symmetric Markov semigroups ⋮ Sup-norm-closable bilinear forms and Lagrangians ⋮ Variations in noncommutative potential theory: Finite-energy states, potentials and multipliers ⋮ Operator-Valued Dirichlet Forms and Module Operator Markov Semigroups

Cites Work

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