论文标题
通用$ \ mathrm {c}^*$ - 带有本地提升属性的代数
Universal $\mathrm{C}^*$-algebras with the Local Lifting Property
论文作者
论文摘要
本地提升属性（LLP）是投影率的本地版本，用于$ \ mathrm {c}^*$ - 代数之间的完全正面地图。在核病例之外，众所周知，很少有$ \ mathrm {c}^*$ - 代数具有LLP。在本文中，我们表明LLP适用于代数收缩$ \ MATHRM {C}^*$ - HADWIN引入的代数，并由Loring and Shulman进一步研究。我们还表明，普罗维尔（Brothier）和琼斯（Jones）引入的通用毕达哥拉斯$ \ mathrm {c}^*$ - 代数具有提升属性。
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.
