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Non-commutative notions of stochastic independence

Published online by Cambridge University Press:  06 November 2002

ANIS BEN GHORBAL  and
MICHAEL SCHÜRMANN
ANIS BEN GHORBAL
Affiliation:
Institut Elie Cartan, BP 239, Université H. Poincaré-Nancy I, F-54506 Vandoeuvre-lès-Nancy, France
MICHAEL SCHÜRMANN
Affiliation:
Institut für Mathematik und Informatik, Ernst-Moritz-Arndt-Universität Greifswald, Friedrich-Ludwig-Jahn-Straße 15a, D-17487 Greifswald, Germany
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Abstract

We present, starting from a set of canonical axioms, a complete classification of the notions of non-commutative stochastic independence. Our result originates from a first contribution and a conjecture by M. Schürmann and is based on a fundamental paper by R. Speicher.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 133 , Issue 3 , November 2002 , pp. 531 - 561
Copyright
© 2002 Cambridge Philosophical Society

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