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arXiv · 1607.07007

Extensions and Dilations of module maps

Massoud Amini
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Abstract

We study completely positive module maps on $C^{*}$-algebras which are $C^*$-module over another $C^*$-algebra with compatible actions. We extend several well known dilation and extension results to this setup, including the Stinespring dilation theorem and Wittstock, Arveson, and Voiculescu extension theorems.

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Massoud Amini. 2016-07-24. Extensions and Dilations of module maps. https://arxiv.org/abs/1607.07007

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