3 citations · 5 across the 6 of their papers we have counts for
10 papers
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…
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…
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…
Extensions of C*-algebras and translation invariant asymptotic homomorphisms
V. Manuilov, K. Thomsen
Let , be C*-algebras; separable, -unital and stable. We introduce a notion of translation invariance for asymptotic homomorphisms from $SA=C_0(\mathbb R)\otimes A…
Semi-invertible extensions and asymptotic homomorphisms
V. Manuilov, K. Thomsen
We consider the semigroup of extensions of a separable C*-algebra by a stable C*-algebra modulo unitary equivalence and modulo asymptotically split extensions. T…
E-theory is a special case of KK-theory
Vladimir Manuilov, Klaus Thomsen
Let A and B be -algebras, A separable, and B -unital and stable. It is shown that there are natural isomorphisms , where $SA=C_0(0,1)…