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math.OA2025
An Ando-type dilation on right LCM monoids
Boyu Li, Mansi Suryawanshi
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. W…
math.OA2025
Poisson transforms on right-angled Artin monoids
Boyu Li
We introduce the notion of the weak Brehmer's condition and prove that the Cauchy transform for a representation of a right-angled Artin monoid is bounded under such conditions. As…