7 citations · 7 across the 2 of their papers we have counts for
4 papers
Algebraic K-theory and locally convex algebras
Joachim Cuntz, Andreas Thom
We consider functors from the category of locally convex algebras to abelian groups and prove invariance under smooth homotopies for weakly J-stable algebras, where J is a harmonic…
Bivariant -theory and the Weyl algebra
Joachim Cuntz
We introduce a new version of bivariant -theory that is defined on the category of all locally convex algebras. A motivating example is the Weyl algebra , i.e.…
Cyclic Theory and the Bivariant Chern-Connes Character
Joachim Cuntz
We give a survey of cyclic homology/cohomology theory including a detailed discussion of cyclic theories for various classes of topological algebras. We show how to associate cycli…
Non-commutative Simplicial Complexes and the Baum-Connes Conjecture
Joachim Cuntz
We associate a non-commutative -algebra with any locally finite simplicial complex. We determine the -theory of these algebras and show that they can be used to obtain a co…