vix.ing · top · new · best · stats · spec

Z is universal

2012/08/30 by Jacelon, Bhishan, Winter, Wilhelm
#FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.1208.6162

Abstract

We use order zero maps to express the Jiang-Su algebra Z as a universal C*-algebra on countably many generators and relations, and we show that a natural deformation of these relations yields the stably projectionless algebra W studied by Kishimoto, Kumjian and others. Our presentation is entirely explicit and involves only *-polynomial and order relations.

Related