# Nuclear dimension and Z -stability

Yasuhiko Sato, Stuart White, Wilhelm Winter

Research output: Contribution to journalArticlepeer-review

32 Citations (Scopus)

## Abstract

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

Original language English 893-921 29 Inventiones Mathematicae 202 2 https://doi.org/10.1007/s00222-015-0580-1 Published - Nov 1 2015 Yes

## All Science Journal Classification (ASJC) codes

• Mathematics(all)