A remark on contracting inverse semigroups
Operator Algebras
2014-10-01 v1 Combinatorics
Abstract
A semi-lattice is said to be tree-like when any two of its elements are either orthogonal or comparable. Given an inverse semigroup S whose idempotent semi-lattice is tree-like, and such that all tight filters are ultra-filters, we present a necessary and sufficient condition for S to be contracting which looks closer in spirit to the notion of contracting actions than a recent condition found by the second named author and E. Pardo.
Cite
@article{arxiv.1409.8334,
title = {A remark on contracting inverse semigroups},
author = {Giuliano Boava and Ruy Exel},
journal= {arXiv preprint arXiv:1409.8334},
year = {2014}
}
Comments
9 pages, no figures