English

Free probability, free entropy and applications to von Neumann algebras

Operator Algebras 2007-05-23 v1

Abstract

This talk is organized as follows: First we explain some basic concepts in non-commutative probability theory in the frame of operator algebras. In Section 2, we discuss related topics in von Neumann algebras. Sections 3 and 4 contain some of the key ideas and results in free probability theory. Last section states some of the important applications of free probability theory.

Keywords

Cite

@article{arxiv.math/0304341,
  title  = {Free probability, free entropy and applications to von Neumann algebras},
  author = {Liming Ge},
  journal= {arXiv preprint arXiv:math/0304341},
  year   = {2007}
}