Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society, the Transactions of the American Mathematical Society (TRAN) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

Free products of von Neumann algebras
HTML articles powered by AMS MathViewer

by Wai Mee Ching PDF
Trans. Amer. Math. Soc. 178 (1973), 147-163 Request permission

Abstract:

A new method of constructing factors of type ${\text {II}_1}$, called free product, is introduced. It is a generalization of the group construction of factors of type ${\text {II}_1}$ when the given group is a free product of two groups. If ${A_1}$ and ${A_2}$ are two von Neumann algebras with separating cyclic trace vectors and ortho-unitary bases, then the free product ${A_1} \ast {A_2}$ of ${A_1}$ and ${A_2}$ is a factor of type ${\text {II}_1}$ without property $\Gamma$.
References
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC: 46L10
  • Retrieve articles in all journals with MSC: 46L10
Additional Information
  • © Copyright 1973 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 178 (1973), 147-163
  • MSC: Primary 46L10
  • DOI: https://doi.org/10.1090/S0002-9947-1973-0326405-3
  • MathSciNet review: 0326405