UNIVERSAL C*-ALGEBRAS WITH THE LOCAL LIFTING PROPERTY

被引：2
|
作者：
Courtney, Kristin E. [1 ]
机构：
[1] WWU Munster, Math Inst, Einsteinstr 62, D-48149 Munster, Germany
来源：
MATHEMATICA SCANDINAVICA | 2021年 / 127卷 / 02期
关键词：
STAR-ALGEBRAS; ELEMENTS;
D O I：
10.7146/math.scand.a-126018
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
引用
收藏
页码：361 / 381
页数：21
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