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Combinatorial theory of the free product with amalgamation and operator-valued free probability theory

About this Title

Roland Speicher

Publication: Memoirs of the American Mathematical Society
Publication Year: 1998; Volume 132, Number 627
ISBNs: 978-0-8218-0693-7 (print); 978-1-4704-0216-7 (online)
MathSciNet review: 1407898
MSC: Primary 46L50; Secondary 81S25

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Table of Contents


  • Introduction
  • I. Preliminaries on non-crossing partitions
  • II. Operator-valued multiplicative functions on the lattice of non-crossing partitions
  • III. Amalgamated free products
  • IV. Operator-valued free probability theory
  • V. Operator-valued stochastic processes and stochastic differential equations