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March 5, 2026Filomat0 citationsOpen Access

On the structure of standard von Neumann algebras

YYYing YaoLSLuoyi Shi

Key Points

  • The aim is to characterize which type I von Neumann algebras qualify as standard under specific conditions.
  • Analyzed the definition of standard von Neumann algebras in the context of a complex separable Hilbert space.
  • Examined the role of conjugation in establishing standard properties within these algebras.
  • Identified specific type I von Neumann algebras that fulfill the criteria for being standard.
  • Established conditions under which the conjugation property holds.

Abstract

Let H be a complex separable Hilbert space. A von Neumann algebra M ? B(H) is said to be standard if there is a conjugation C on H such that CMC = M?. In this paper we determine which type I von Neumann algebras are standard.

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Cite This Study

Yao et al. (2025) studied this question.

synapsesocial.com/papers/69a91df9d6127c7a504c164dhttps://doi.org/10.2298/fil2519473y
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