# Noncommutative stable homotopy theory

* Corresponding author
1 Algèbres d'Opérateurs
MAPMO - Mathématiques - Analyse, Probabilités, Modélisation - Orléans
Abstract : We construct Kasparov's bifunctor $KK$ and $E$-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.
Keywords :
Document type :
Preprints, Working Papers, ...
Domain :

https://hal.archives-ouvertes.fr/hal-00822418
Contributor : Martin Grensing <>
Submitted on : Tuesday, May 14, 2013 - 4:12:29 PM
Last modification on : Thursday, May 3, 2018 - 3:32:07 PM

### Identifiers

• HAL Id : hal-00822418, version 1
• ARXIV : 1302.4751

### Citation

Martin Grensing. Noncommutative stable homotopy theory. 2013. ⟨hal-00822418⟩

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