Twisting and Rieffel's deformation of locally compact quantum groups. Deformation of the Haar measure

KK-fibrations arising from Rieffel deformations

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.

A locally compact quantum group of triangular matrices

We construct a one parameter deformation of the group of $2\times 2$ upper triangular matrices with determinant 1 using the twisting construction. An interesting feature of this new example of a locally compact quantum group is that the Haar measure is deformed in a non-trivial way. Also, we give a complete description of the dual $\cs$-algebra and the dual comultiplication.

谱融合变形用于局部紧量子群

Spectral Fusion Deformations for Locally Compact Quantum Groups

本文提出了一种基于谱融合数据的局部紧量子群变形框架，通过显式代数恒等式和融合3-上同调生成新的变形方法，区分了代数一致性与分析可执行性。