Noncommutative stable homotopy theory
arXiv:1302.4751
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.
This is an outline of the construction not containing detailed proofs