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arXiv · 2512.20930

An Ando-type dilation on right LCM monoids

Boyu Li·Mansi Suryawanshi
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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.

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Boyu Li, Mansi Suryawanshi. 2025-12-24. An Ando-type dilation on right LCM monoids. https://arxiv.org/abs/2512.20930

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