Article

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

Contemporary Mathematics Fundamental Directionsjournal2021en

ABI

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 III (0 1) are completely described.

Topics

Advanced Operator Algebra Research

Identifiers

DOI: 10.22363/2413-3639-2021-67-4-755-765

Citations and references

Cited by 07 references

Metrics — AkademScholar · Coming soon