KK-fibrations arising from Rieffel deformations

Details KK-fibrations arising from Rieffel deformations KK-fibrations arising from Rieffel deformations

2011-09-27

arxiv.org/abs/1109.5968v1

Mathematics

Operator Algebras

16 pages

Scientific paper

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

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