Injectivity and Nuclearity Properties for Real C*-Algebras

Rakhimov A., Nurillaev M., Boltaev K.

Journal of Mathematical Sciences (United States), cilt.278, sa.3, ss.520-529, 2024 (Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 278 Sayı: 3
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1007/s10958-024-06935-2
  • Dergi Adı: Journal of Mathematical Sciences (United States)
  • Derginin Tarandığı İndeksler: Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.520-529
  • Anahtar Kelimeler: C*-algebra, injectivity, nuclearity, W*-algebra
  • Karadeniz Teknik Üniversitesi Adresli: Hayır

Özet

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.