Stable actions and central extensions
Dynamical Systems
2017-05-18 v2 Group Theory
Operator Algebras
Abstract
A probability-measure-preserving action of a countable group is called stable if its transformation-groupoid absorbs the ergodic hyperfinite equivalence relation of type II_1 under direct product. We show that for a countable group G and its central subgroup C, if G/C has a stable action, then so does G. Combining a previous result of the author, we obtain a characterization of a central extension having a stable action.
Cite
@article{arxiv.1604.04756,
title = {Stable actions and central extensions},
author = {Yoshikata Kida},
journal= {arXiv preprint arXiv:1604.04756},
year = {2017}
}
Comments
14 pages