Speciality:
01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
7.11.1964
E-mail: ,
Keywords: W*-algebra; C*-algebra; automorphisms and antiautomorphisms of W*-algebras; real W*-algebra; real C*-algebra; Jordan Banach algebras; JW-algebras; modular theory; traces on komplex and real W*-algebras; weights and states on komplex and real W*-algebras; infinite tensor product; classification of operator algebras; injective factors; injective real factors; hyperfinite factors; hyperfinite real factors; amenable factors; amenable real factors.
Subject:
I am a specialist in the theory operator algebras, in particular, in the theory complex and real von Neumann algebras. My scientific works devoted to the classifications of *-automorphisms and *-antiautomorphisms of complex and real von Neumann algebras, which play an impotant role in the study of the theory of general algebras von Neumann, and to the classification of real factors of type III. Classification of periodic *-antiautomorphisms of hyperfinite factors and classification of periodic *-automorphisms of real hyperfinite factors are obtained. Outer conjugacy classes of automorphisms and antiautomorphisms of real and complex injective factors are descripted. Classification of hyperfinite and injective real factors of type III$_{\lambda}$ ($0)
Main publications:
Jordan, Real and Lie structures in operator algebras. The Monography, Kluwer Academic Publishers, MAIA, 1997, v. 418, 235 p. (with Ayupov Sh. A., Usmanov Sh. .)
Outer conjugacy classes of automorphisms and antiautomorphisms of real and complex injective factors // Journal of Functional Analysis, 1997, vol. 144, 475–485. (with Usmanov Sh. M.)
