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.
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机译：我们在渐近同态之间引入等价关系，它们通常比同构要强，但是当域是一个悬浮的$ C * $-代数时，我们证明这与同构等效。作为一个应用程序，我们证明了Connes和Higson的$ E $理论可以作为Kasparov KK理论的特例来实现。
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