Noncommutative probability

Description:

This volume introduces the subject of noncommutative probability from a mathematical point of view based on the idea of generalising fundamental theorems in classical probability theory. It contains topics including von Neumann algebras, Fock spaces, free independence and Jordan algebras. Full proofs are given, and outlines are sketched where some background information is essential to follow the argument. The bibliography lists classical papers on the subject as well as recent titles, thus enabling further study. This book is of interest to graduate students and researchers in functional analysis, von Neumann algebras, probability theory and stochastic calculus. Some previous knowledge of operator algebras and probability theory is assumed.

subjects: Probabilities,  Mathematical physics,  Von Neumann algebras,  Algèbre Clifford,  C*-algèbre,  Probabilité non commutative,  Wahrscheinlichkeitstheorie,  Nichtkommutative Wahrscheinlichkeit,  Nichtkommutative Algebra,  Intégrale stochastique,  Théorème central limite,  Algèbre Von Neumann,  Valeur moyenne conditionnelle,  Algèbre Jordan,  Physique mathématique,  Von Neumann, Algèbres de,  Algebra,  Functional analysis,  Mathematics,  Distribution (Probability theory),  Probability Theory and Stochastic Processes,  Mathematical and Computational Physics Theoretical