Homology, Homotopy and Applications
Volume 8 (2006)
Homotopy invariance in E-theory
Pages: 29 – 49
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.
$E$-theory; asymptotic homomorphisms
2010 Mathematics Subject Classification