紧量子群作用的刚性II
算子代数
2014-11-17 v3 微分几何
量子代数
摘要
假设一个紧量子群Q忠实且等距地（在[10]的意义上）作用在一个光滑紧致、定向、连通的黎曼流形M上。如果该流形是稳定可平行化的，则证明该紧量子群作为C*代数必然是交换的，即Q = C(G)对于某个紧群G。利用这一点，还证明了此类流形M的Rieffel变形的量子等距群必须是C(ISO(M))的Rieffel-Wang变形。
引用
@article{arxiv.1206.1718,
title = {Rigidity of action of compact quantum groups II},
author = {Biswarup Das and Debashish Goswami and Soumalya Joardar},
journal= {arXiv preprint arXiv:1206.1718},
year = {2014}
}
备注
Withdrawn because its content is now subsumed (with improvement) in arXiv:1309.1294 and arXiv:1410.8650