English

Nuclear dimension and Z-stability

Operator Algebras 2015-11-30 v2

Abstract

Simple, separable, unital, monotracial and nuclear C^*-algebras are shown to have finite nuclear dimension whenever they absorb the Jiang-Su algebra Z\mathcal{Z} tensorially. This completes the proof of the Toms-Winter conjecture in the unique trace case.

Keywords

Cite

@article{arxiv.1403.0747,
  title  = {Nuclear dimension and Z-stability},
  author = {Yasuhiko Sato and Stuart White and Wilhelm Winter},
  journal= {arXiv preprint arXiv:1403.0747},
  year   = {2015}
}

Comments

23 Pages. New section added. Invent. Math., to appear

R2 v1 2026-06-22T03:19:47.070Z