Centralizers of rank-one homeomorphisms

作者：Hill Aaron^*

来源：Ergodic Theory and Dynamical Systems, 2014, 34: 543-556.

DOI：10.1017/etds.2012.149

We give a definition for a rank-one homeomorphism of a zero-dimensional Polish space X. We show that if a rank-one homeomorphism of X satisfies a certain non-degeneracy condition, then it has trivial centralizer in the group of all homeomorphisms of X, i.e. it commutes only with its integral powers.

• 出版日期2014-4