TY - JOUR
AU - Courtney, Kristin E.
PY - 2021/08/31
Y2 - 2022/01/25
TI - Universal $C^∗$-algebras with the local lifting property
JF - MATHEMATICA SCANDINAVICA
JA - Math. Scand.
VL - 127
IS - 2
SE - Articles
DO - 10.7146/math.scand.a-126018
UR - https://www.mscand.dk/article/view/126018
SP - 361-381
AB - <p>The Local Lifting Property (LLP) is a localized version of projectivity for completely positive maps between $\mathrm{C}^*$-algebras. Outside of the nuclear case, very few $\mathrm{C}^*$-algebras are known to have the LLP\@. In this article, we show that the LLP holds for the algebraic contraction $\mathrm{C}^*$-algebras introduced by Hadwin and further studied by Loring and Shulman. We also show that the universal Pythagorean $\mathrm{C}^*$-algebras introduced by Brothier and Jones have the Lifting Property.</p>
ER -