Seminars: A. A. Rakhimov, Uniformly hyperfinite $AW^\ast$-algebras

SEMINARS


Functional analysis and its applications February 20, 2025 09:00

Uniformly hyperfinite $AW^\ast$-algebras A. A. Rakhimov National University of Uzbekistan named after M. Ulugbek, Tashkent
Abstract: In the report considers Uniformly hyperfinite (UHF) algebras. An analog of the definition of the McDuff factor for $AW^\ast$-algebras is given. It is shown that UHF finite $AW^\ast$-factor is $AW^\ast$-McDuff. It is proved that UHF $AW^\ast$-factors of type $II_1$ are $W^\ast$-algebras. Website: https://us06web.zoom.us/j/3836418273