论文标题

量子Cayley树和应用的方向

Orientation of quantum Cayley trees and applications

论文作者

Vergnioux, Roland

论文摘要

我们介绍了与量子离散组相关的量子cayley图,并在树木的情况下进行研究。我们特别关注量子上升方向的概念,并描述Infinity边缘的相关空间,这是边缘转换操作员的无抗腐蚀性的结果,并且在经典情况下消失了。我们以对属性AO和K理论的申请结尾。

We introduce the quantum Cayley graphs associated to quantum discrete groups and study them in the case of trees. We focus in particular on the notion of quantum ascending orientation and describe the associated space of edges at infinity, which is an outcome of the non-involutivity of the edge-reversing operator and vanishes in the classical case. We end with applications to Property AO and K-theory.

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