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Injectivity and Nuclearity Properties for Real C*-Algebras

A. A. RakhimovNational University of Uzbekistan named after M. UlugbekM. E. NurillaevTashkent State Pedagogical University named after NizamiKh. Kh. BoltaevTashkent State Pedagogical University named after Nizami
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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 III (0 1) are completely described.

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