DIRECT PRODUCTED W*-PROBABILITY SPACES AND CORRESPONDING AMALGAMATED FREE STOCHASTIC INTEGRATION

DOI10.4134/BKMS.2007.44.1.131zbMath1133.46035OpenAlexW2038893408MaRDI QIDQ5435234

Ilwoo Cho

Publication date: 14 January 2008

Published in: Bulletin of the Korean Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4134/bkms.2007.44.1.131

zbMATH Keywords

Itô's formula\(D_N\)-free Brownian motions\(D_N\)-freeness\(D_N\)-semicircularity\(D_N\)-valued infinitely divisibility\(D_N\)-valued simple adapted biprocesses\(D_N\)-valued stochastic integraldirect producted \(W^*\)-probability spaces over their diagonal subalgebras

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53)

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\(C^{*}\)-subalgebras generated by a single operator in \(B(H)\) ⋮ On dynamical systems induced by p-adic number fields ⋮ \(C^{*}\)-algebras generated by partial isometries ⋮ Applications of automata and graphs: Labeling operators in Hilbert space. II. ⋮ Vertex-compressed subalgebras of a graph von Neumann algebra ⋮ Applications of automata and graphs: Labeling-operators in Hilbert space. I

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