Nuclear dimension and Z -stability

Yasuhiko Sato, Stuart White, Wilhelm Winter

Research output: Contribution to journalArticle

29 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 languageEnglish
Pages (from-to)893-921
Number of pages29
JournalInventiones Mathematicae
Volume202
Issue number2
DOIs
Publication statusPublished - Nov 1 2015
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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