Algebraic K-theory and locally convex algebras
K-Theory and Homology
2007-05-23 v1 Operator Algebras
Abstract
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 operator ideal. This applies in particular to negative algebraic K-theory. We develop the technology of Kasparov modules in an algebraic setting in order to obtain the results. The article also includes a computation of the first algebraic K-theory of harmonic operator ideals.
Keywords
Cite
@article{arxiv.math/0503417,
title = {Algebraic K-theory and locally convex algebras},
author = {Joachim Cuntz and Andreas Thom},
journal= {arXiv preprint arXiv:math/0503417},
year = {2007}
}