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.
Originalsprog | Engelsk |
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Tidsskrift | Mathematica Scandinavica |
Vol/bind | 127 |
Udgave nummer | 2 |
Sider (fra-til) | 361-381 |
ISSN | 0025-5521 |
DOI | |
Status | Udgivet - 31. aug. 2021 |
Udgivet eksternt | Ja |