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Algebraic K-theory and locally convex algebras

Joachim Cuntz·Andreas Thom
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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.

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Joachim Cuntz, Andreas Thom. 2005-03-21. Algebraic K-theory and locally convex algebras. https://arxiv.org/abs/math/0503417

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