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arXiv · 1409.8334

A remark on contracting inverse semigroups

Giuliano Boava·Ruy Exel
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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.

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Giuliano Boava, Ruy Exel. 2014-09-29. A remark on contracting inverse semigroups. https://arxiv.org/abs/1409.8334

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