Injectivity and Nuclearity Properties for Real C*-Algebras

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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.

About the authors

A. A. Rakhimov

National University of Uzbekistan named after M. Ulugbek

Author for correspondence.
Email: rakhimov@ktu.edu.tr
Tashkent, Uzbekistan

M. E. Nurillaev

Tashkent State Pedagogical University named after Nizami

Email: nur11laev_muzaffar@mail.ru
Tashkent, Uzbekistan

Kh. Kh. Boltaev

Tashkent State Pedagogical University named after Nizami

Email: bkhabibzhan@mail.ru
Tashkent, Uzbekistan

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