KK-fibrations arising from Rieffel deformations

preprint2011arXivOpen access

Abstract

The bundle map $π_{h}: Γ((A_{tJ})_{t\in [0,1]})\lra A_{hJ}$, for every h∈[0,1]h\in [0,1], of the continuous field (AtJ)t∈[0,1](A_{tJ})_{t\in [0,1]} associated to the Rieffel deformation AJA_{J} of a C*-algebra AA is shown to be a KK-equivalence by using a 2-cocycle twisting approach and RKK-fibrations.

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