Noncommutative stationary processes

DOI10.1007/b95349zbMath1047.46001OpenAlexW587396073MaRDI QIDQ1425828

Rolf Gohm

Publication date: 18 March 2004

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/b95349

zbMATH Keywords

extensionsdilationsnoncommutative stationary processesunital completely positive maps

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative dynamical systems (46L55) Noncommutative probability and statistics (46L53) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02)

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A noncommutative extended de Finetti theorem ⋮ Non-commutative Markov chains and multi-analytic operators ⋮ Generalized Repeated Interaction Model and Transfer Functions ⋮ Markovianity and the Thompson monoid \(F^+\) ⋮ \(\text E_0\)-dilation of strongly commuting \(\text{CP}_0\)-semigroups ⋮ Weak Markov processes as linear systems ⋮ Universal preparability of states and asymptotic completeness ⋮ CONSTRUCTING EXTENSIONS OF CP-MAPS VIA TENSOR DILATIONS WITH THE HELP OF VON NEUMANN MODULES ⋮ Noncommutative independence from the braid group \({\mathbb{B}_{\infty}}\)

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