KK-fibrations arising from Rieffel deformations

Abstract

The bundle map $π_{h}: Γ((A_{tJ})_{t\in [0,1]})\lra A_{hJ}$, 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.

16 pages

References in corpus (3)

• Rieffel deformation via crossed products
• Principal noncommutative torus bundles
• Connes-Landi Deformation of Spectral Triples

Cited by in corpus (1)

• Index pairings for ${\mathbb{R}}^n$-actions and Rieffel deformations