Abstract
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.
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Translated from Sovremennaya Matematika. Fundamental’nye Napravleniya (Contemporary Mathematics. Fundamental Directions), Vol. 67, No. 4, Science — Technology — Education — Mathematics — Medicine, 2022.
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Rakhimov, A.A., Nurillaev, M.E. & Boltaev, K. Injectivity and Nuclearity Properties for Real C*-Algebras. J Math Sci 278, 520–529 (2024). https://doi.org/10.1007/s10958-024-06935-2
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DOI: https://doi.org/10.1007/s10958-024-06935-2