Electronic Proceedings in Theoretical Computer Science (Jan 2017)

Paschke Dilations

  • Abraham Westerbaan,
  • Bas Westerbaan

DOI
https://doi.org/10.4204/EPTCS.236.15
Journal volume & issue
Vol. 236, no. Proc. QPL 2016
pp. 229 – 244

Abstract

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In 1973 Paschke defined a factorization for completely positive maps between C*-algebras. In this paper we show that for normal maps between von Neumann algebras, this factorization has a universal property, and coincides with Stinespring's dilation for normal maps into B(H).