An Ando-type dilation on right LCM monoids
Operator Algebras
2025-12-25 v1 Functional Analysis
Abstract
We establish an Ando-type dilation theorem for a pair of commuting contractions together with a representation of a right LCM monoid via either the Cartesian or the free product. We prove that if each individual contraction together with the monoid representation has -regular dilation, then they can be dilated to commuting isometries and an isometric representation of the monoid. This extends an earlier result of Barik and Das.
Cite
@article{arxiv.2512.20930,
title = {An Ando-type dilation on right LCM monoids},
author = {Boyu Li and Mansi Suryawanshi},
journal= {arXiv preprint arXiv:2512.20930},
year = {2025}
}
Comments
11 pages