A proof of Boca's Theorem

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 27 Dec 2018Embargo end date: 01 Jan 2017 United Kingdom English Publisher:Cambridge University Press (CUP)Journal:Proceedings of the Royal Society of Edinburgh: Section A Mathematics, volume 149, pages 869-876 (issn: 0308-2105, eissn: 1473-7124,

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Authors: Davidson KR; Kakariadis ETA;

doi: 10.1017/prm.2018.50 , 10.48550/arxiv.1706.01280

arXiv: 1706.01280

A proof of Boca's Theorem

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Abstract

AbstractWe give a general method of extending unital completely positive maps to amalgamated free products of C*-algebras. As an application, we give a dilation theoretic proof of Boca's Theorem.

Country

United Kingdom

Related Organizations

Newcastle University
United Kingdom
University of Waterloo
Canada

Keywords

Mathematics - Operator Algebras, FOS: Mathematics, Operator spaces and completely bounded maps, Free products of \(C^*\)-algebras, free product \(C^*\)-algebra, 46L07, 46L09, Operator Algebras (math.OA), completely positive map

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