English

Z is universal

Operator Algebras 2012-08-31 v1

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.

Keywords

Cite

@article{arxiv.1208.6162,
  title  = {Z is universal},
  author = {Bhishan Jacelon and Wilhelm Winter},
  journal= {arXiv preprint arXiv:1208.6162},
  year   = {2012}
}

Comments

12 pages

R2 v1 2026-06-21T21:57:19.760Z