Geodesic
Homotopy invariance in E-theory
Homology, homotopy, and applications, Tome 8 (2006) no. 2, pp. 29-49.

Voir la notice de l'article provenant de la source International Press of Boston

We introduce equivalence relations among asymptotic homomorphisms that in general are stronger than homotopy, but which we show are equivalent to homotopy when the domain is a suspended $C*$-algebra. As an application, we show that the $E$-theory of Connes and Higson can be realized as a special case of Kasparov’s KK-theory.
DOI : 10.4310/HHA.2006.v8.n2.a2
Classification : 19K35, 46L85
Keywords: $E$-theory, asymptotic homomorphisms 
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     author = {Klaus Thomsen},
     title = {Homotopy invariance in {E-theory}},
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     pages = {29--49},
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Klaus Thomsen. Homotopy invariance in E-theory. Homology, homotopy, and applications, Tome 8 (2006) no. 2, pp. 29-49. doi : 10.4310/HHA.2006.v8.n2.a2. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2006.v8.n2.a2/

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