Uniformly hyperfinite $AW^\ast$-algebras

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.