具有大重数的遍历余作用与量子群的幺半等价
算子代数
2009-11-11 v2 量子代数
摘要
我们构造了紧量子群遍历余作用的新例子，其中不可约余表示的多重性可严格大于后者的维数。这些例子是利用 C*-代数上的某些遍历余作用与紧量子群表示范畴上的幺模纤维函子之间的双射对应得到的。我们对泛正交与酉量子群上的这些幺模纤维函子进行了分类。相关的 C*-代数与 von Neumann 代数可由生成元与关系定义，但尚未被充分理解。
引用
@article{arxiv.math/0502018,
title = {Ergodic coactions with large multiplicity and monoidal equivalence of quantum groups},
author = {Julien Bichon and An De Rijdt and Stefaan Vaes},
journal= {arXiv preprint arXiv:math/0502018},
year = {2009}
}
备注
After completion of a first version of this paper, signed by the last two authors, the first author joined the project and his preprint [6] was taken into account, yielding the current paper as a final result