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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Free group factors and factors with some decompositions
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by Junhao Shen and Xiaoxia Zhang PDF
Proc. Amer. Math. Soc. 133 (2005), 2267-2272 Request permission

Abstract:

In this paper, we show that if type $II_1$ von Neumann factors $\mathcal {M}$ have some decompositions introduced by Liming Ge and Sorin Popa, then these von Neumann factors are not isomorphic to free group factors $L(F_n)\ (n \geq 2)$. Thus we have proved the number $l_a$ defined by Ge and Popa bigger than 3 for all free group factors and we also extend some results of M. Stefan.
References
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Additional Information
  • Junhao Shen
  • Affiliation: Department of Mathematics, University of Pennsylvania, Philadelphia, Pennsylvania 19104-6395
  • MR Author ID: 626774
  • Email: junhao@math.upenn.edu
  • Xiaoxia Zhang
  • Affiliation: Department of Mathematics, University of Yan Tai, Shan Dong 264005, People’s Republic of China
  • Email: zxxmath@yahoo.com.cn
  • Received by editor(s): June 14, 2002
  • Received by editor(s) in revised form: April 17, 2003
  • Published electronically: March 4, 2005
  • Communicated by: David R. Larson
  • © Copyright 2005 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 133 (2005), 2267-2272
  • MSC (2000): Primary 46L05, 47D15
  • DOI: https://doi.org/10.1090/S0002-9939-05-07407-1
  • MathSciNet review: 2138869