量子Cayley树的定向及其应用
Orientation of quantum Cayley trees and applications
摘要：
我们引入了量子离散群的量子Cayley图，并在树的情况下研究了它们。我们特别关注量子上升方向的概念，并描述了相关的空间的边缘在无穷远，这是一个结果的非对合的边缘反转操作和消失在经典的情况下。最后，我们将应用于性质AO和K理论。
英文摘要：
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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