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arXiv · 2606.22176

Completely contractive covariant representations of product system over $\mathbb N^2_0$

Dimple Saini
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Abstract

A pure completely contractive covariant representations of a $C^*$-correspondence dilate to a pure isometric covariant representations due to Muhly-Solel. More specifically, we are curious about the following question for pairs: Does a pure completely contractive covariant representations of a product system dilate to a pure isometric covariant representations of a product system? The goal of this study is to find a pure completely contractive covariant representations of a product system that provide an affirmative answer for the previous question.

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Dimple Saini. 2026-06-20. Completely contractive covariant representations of product system over $\mathbb N^2_0$. https://arxiv.org/abs/2606.22176

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