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A proof of Boca's Theorem

Part of: Selfadjoint operator algebras

Published online by Cambridge University Press:  27 December 2018

Kenneth R. Davidson  and
Evgenios T. A. Kakariadis
Kenneth R. Davidson
Affiliation:
Pure Mathematics Department, University of Waterloo, Waterloo, ON N2L–3G1, Canada (krdavids@uwaterloo.ca)
Evgenios T. A. Kakariadis
Affiliation:
School of Mathematics and Statistics, Newcastle University, Newcastle upon Tyne, NE1 7RU, UK (evgenios.kakariadis@ncl.ac.uk)
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Abstract

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.

Keywords

completely positive mapfree product C*-algebra

MSC classification

Primary: 46L07: Operator spaces and completely bounded maps
Secondary: 46L09: Free products of $C^*$-algebras
Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 149 , Issue 4 , August 2019 , pp. 869 - 876
Copyright
Copyright © Royal Society of Edinburgh 2018 

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