Noncommutative stable homotopy theory
Algebraic Topology
2013-04-29 v2 K-Theory and Homology
Operator Algebras
Abstract
We construct Kasparov's bifunctor and -theory by stable homotopy theoretic methods. This is motivated by results concerning constructions of bivariant theories on more general categories such as, for example, bornological algebras. The details of the construction have interesting applications to groups of extensions.
Cite
@article{arxiv.1302.4751,
title = {Noncommutative stable homotopy theory},
author = {Martin Grensing},
journal= {arXiv preprint arXiv:1302.4751},
year = {2013}
}
Comments
This is an outline of the construction not containing detailed proofs