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Injectivity and Nuclearity Properties for Real C*-Algebras

  • 期刊论文

  • 发表日期：

    2024年1月23日

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  • A. A. Rakhimov,
  • M. E. Nurillaev,
  • Kh.Kh. Boltaev

摘要

In this paper, we study injective and nuclear real W*- and C*-algebras. The connection of these concepts with similar concepts of enveloping W*- and C*-algebras is considered. The equivalence of the concepts of injectivity and nuclearity for real C*-algebras is shown. As a consequence, nuclear real factors of types II1, II∞, III1, III0, and IIIλ (0 < λ < 1) are completely described.