English

Extensions and Dilations of module maps

Operator Algebras 2016-10-04 v2

Abstract

We study completely positive module maps on CC^{*}-algebras which are CC^*-module over another CC^*-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.

Keywords

Cite

@article{arxiv.1607.07007,
  title  = {Extensions and Dilations of module maps},
  author = {Massoud Amini},
  journal= {arXiv preprint arXiv:1607.07007},
  year   = {2016}
}

Comments

13 pages

R2 v1 2026-06-22T15:02:40.608Z