V. Manuilov

activity

19942023

most citedDouglas factorization theorem revisited

24 citations · 100 across the 43 of their papers we have counts for

collaborators

Showing 2005 · math.OAShow all

3 papers · 2 filters

math.OA2005★ 1 cited

Relative K-homology and normal operators

V. Manuilov, K. Thomsen

Let $A$ be a C*-algebra, $J \subset A$ a C*-subalgebra, and let $B$ be a stable C*-algebra. Under modest assumptions we organize invertible C*-extensions of $A$ by $B$ that are tri…

math.OA2005

The group of unital $C^{*}$ -extensions

Vladimir Manuilov, Klaus Thomsen

Let $A$ and $B$ be separable $C^{*}$ -algebras, $A$ unital and $B$ stable. It is shown that there is a natural six-terms exact sequence which relates the group which arises by conside…

math.OA2005★ 3 cited

On the lack of inverses to C*-extensions related to property T groups

V. Manuilov, K. Thomsen

Using ideas of S. Wassermann on non-exact $C^{*}$ -algebras and property T groups, we show that one of his examples of non-invertible C*-extensions is not semi-invertible. To prove th…

Relative K-homology and normal operators

The group of unital C∗-extensions

On the lack of inverses to C*-extensions related to property T groups

The group of unital $C^{*}$ -extensions