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Analysis

2023

*-automorphism.

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A Characterization Of Approximately Inner Automorphisms Of Aw*-Factor Of Type Ii1, Dmitriy Kim Mar 2023

A Characterization Of Approximately Inner Automorphisms Of Aw*-Factor Of Type Ii1, Dmitriy Kim

Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences

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.