UNIVERSAL C*-ALGEBRAS WITH THE LOCAL LIFTING PROPERTY

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.