A proof of Boca's Theorem

We 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.

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Bibliographic Details
Published in:Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 2019-08, Vol.149 (4), p.869-876, Article 869
Main Authors: Davidson, Kenneth R., Kakariadis, Evgenios T. A.
Format: Article
Language:English
Subjects:
Theorem proving
Theorems
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Summary:We 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.
ISSN:0308-2105
1473-7124
DOI:10.1017/prm.2018.50