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math.OA2005★ 1 cited
Relative K-homology and normal operators
V. Manuilov, K. Thomsen
Let be a C*-algebra, a C*-subalgebra, and let be a stable C*-algebra. Under modest assumptions we organize invertible C*-extensions of by that are tri…
math.OA2005
The group of unital -extensions
Vladimir Manuilov, Klaus Thomsen
Let and be separable -algebras, unital and 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 -algebras and property T groups, we show that one of his examples of non-invertible C*-extensions is not semi-invertible. To prove th…