Markov structures on Clifford algebras

DOI10.1016/0022-1236(75)90011-7zbMath0337.46062OpenAlexW2061412224MaRDI QIDQ1230389

D. A. Uhlenbrock, Robert Schrader

Publication date: 1975

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

Full work available at URL: https://doi.org/10.1016/0022-1236(75)90011-7

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) General theory of (C^*)-algebras (46L05) Categories, functors in functional analysis (46M15) Miscellaneous applications of functional analysis (46N99)

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Noncommutative potential theory: a survey, Dirichlet Forms on Noncommutative Spaces, Dirichlet forms and Markovian semigroups on standard forms of von Neumann algebras, The Ito-Clifford integral. III: The Markov property of solutions to stochastic differential equations, Dirichlet forms on partial *-algebras, Path space ideas and minimal unitary dilations, Euclidean Fermi fields, Probabilistic aspects of quantum field theory, On the mean ergodic theorem in bicomplex Banach modules, Completely positive quasi-free maps on the CAR algebra, On the outer and inner invariants of Connes, Dissipators for symmetric quasi-free dynamical semigroups on the CAR algebra, The emergence of noncommutative potential theory, Spinors in Hilbert space, Quantum stochastic processes, Completely positive linear mappings, non-Hamiltonian evolution, and quantum stochastic processes, Irreversible dynamics of infinite Fermion systems, On the quantum Feynman-Kac formula, Dirichlet forms and Markov semigroups on \(C^*\)-algebras, Gaussian hypercontractivity revisited

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