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- W2952938172 abstract "Let $A$ be a separable $C^*$-algebra and $B$ a stable $C^*$-algebra containing a strictly positive element. We show that the group $Ext(SA,B)$ of unitary equivalence classes of extensions of $SA$ by $B$, modulo the extensions which are asymptotically split, coincides with the group of homotopy classes of such extensions. This is done by proving that the Connes-Higson construction gives rise to an isomorphism between $Ext(SA,B)$ and the $E$-theory group $E(A,B)$ of homotopy classes of asymptotic homomorphisms from $S^2A$ to $B$." @default.
- W2952938172 created "2019-06-27" @default.
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- W2952938172 date "2000-04-28" @default.
- W2952938172 modified "2023-09-23" @default.
- W2952938172 title "The Connes-Higson construction is an isomorphism" @default.
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