Free probability, free entropy and applications to von Neumann algebras

Details Free probability, free entropy and applications to von Neumann algebras Free probability, free entropy and applications to von Neumann algebras

2003-04-22

arxiv.org/abs/math/0304341v1

Proceedings of the ICM, Beijing 2002, vol. 2, 787--794

Mathematics

Operator Algebras

Scientific paper

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.

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