Free products of von Neumann algebras-Reference-Cited by-同舟云学术

Free products of von Neumann algebras

Published:1973 Issue:0 Volume:178 Page:147-163
ISSN:0002-9947
Container-title:Transactions of the American Mathematical Society
language:en
Short-container-title:Trans. Amer. Math. Soc.

Author:

Ching Wai Mee

Abstract

A new method of constructing factors of type II 1 {\text {II}_1} , called free product, is introduced. It is a generalization of the group construction of factors of type II 1 {\text {II}_1} when the given group is a free product of two groups. If A 1 {A_1} and A 2 {A_2} are two von Neumann algebras with separating cyclic trace vectors and ortho-unitary bases, then the free product A 1 ∗ A 2 {A_1} \ast {A_2} of A 1 {A_1} and A 2 {A_2} is a factor of type II 1 {\text {II}_1} without property Γ \Gamma .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/tran/1973-178-00/S0002-9947-1973-0326405-3/S0002-9947-1973-0326405-3.pdf

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