Universal C*-algebras with the local lifting property

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Abstract

The Local Lifting Property (LLP) is a localized version of projectivity for completely positive maps between C*-algebras. Outside of the nuclear case, very few C*-algebras are known to have the LLP. In this article, we show that the LLP holds for the algebraic contraction C*-algebras introduced by Hadwin and further studied by Loring and Shulman.We also show that the universal Pythagorean C*-algebras introduced by Brothier and Jones have the Lifting Property.

OriginalsprogEngelsk
TidsskriftMathematica Scandinavica
Vol/bind127
Udgave nummer2
Sider (fra-til)361-381
ISSN0025-5521
DOI
StatusUdgivet - 31. aug. 2021
Udgivet eksterntJa

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