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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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A splitting property for subalgebras of tensor products
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by Liming Ge PDF
Bull. Amer. Math. Soc. 32 (1995), 57-60 Request permission

Abstract:

We prove a basic result about tensor products of a ${\text {I}}{{\text {I}}_1}$ factor with a finite von Neumann algebra and use it to answer, affirmatively, a question asked by S. Popa about maximal injective factors.
References
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  • Sorin Popa, Maximal injective subalgebras in factors associated with free groups, Adv. in Math. 50 (1983), no. 1, 27–48. MR 720738, DOI 10.1016/0001-8708(83)90033-6
  • Sorin Popa, On a problem of R. V. Kadison on maximal abelian $\ast$-subalgebras in factors, Invent. Math. 65 (1981/82), no. 2, 269–281. MR 641131, DOI 10.1007/BF01389015
  • J. Schwartz, Two finite, non-hyperfinite, non-isomorphic factors, Comm. Pure Appl. Math. 16 (1963), 19–26. MR 149322, DOI 10.1002/cpa.3160160104
  • J. Tomiyama, Tensor products and projections of norm one in von Neumann algebras, Seminar notes, Math. Institute, University of Copenhagen, 1970.
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Additional Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Bull. Amer. Math. Soc. 32 (1995), 57-60
  • MSC: Primary 46L35; Secondary 46L10, 46M05
  • DOI: https://doi.org/10.1090/S0273-0979-1995-00556-2
  • MathSciNet review: 1273397