Article

A characterization of approximately inner automorphisms of AW*-factor of type II<sub>1</sub>

Dmitriy KimNational University of Uzbekistan, Tashkent, Uzbekistan

Bulletin of National University of Uzbekistan Mathematics and Natural Sciencesjournal2023en

ABI

Abstract

Approximately inner *-automorphisms of AW*-algebra of type II1 are considered. Faithful normalized quasitraces of AW*-algebras are studied and the inequality connecting ||.||1 and ||.||2 norms generated by quasitrace is obtained. It is showed the characterization of approximately inner *-automorphisms of AW*-algebra of type II1.

Topics

Advanced Operator Algebra Research Advanced Topics in Algebra Holomorphic and Operator Theory

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DOI: 10.56017/2181-1318.1235

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A characterization of approximately inner automorphisms of AW*-factor of type II&lt;sub&gt;1&lt;/sub&gt;

Abstract

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A characterization of approximately inner automorphisms of AW*-factor of type II<sub>1</sub>