紧量子群在 C*-代数上的遍历作用的嵌入及其商空间
算子代数
2013-09-24 v2 泛函分析
摘要
我们重访紧量子子群的概念并给出另一种定义。考虑了诱导表示并得到了一个 Frobenius 互反定理。研究了紧量子群在 C*-代数上的遍历作用与拓扑传递性之间的关系。得到了将此类作用嵌入量子商空间的一个充分条件。
引用
@article{arxiv.math/0604308,
title = {Embedding ergodic actions of compact quantum groups on C*-algebras into quotient spaces},
author = {Claudia Pinzari},
journal= {arXiv preprint arXiv:math/0604308},
year = {2013}
}
备注
31 pages, Latex; The assumptions of Prop. 2.5 of the published version are strengthened, leading to the equivalence between closed coideals and Wang's notion of Woronowicz C*-ideal for nuclear C*algebras and leaving the equivalence problem open in the general case