Nuclear dimension and Z -stability

Yasuhiko Sato; Stuart White; Wilhelm Winter

doi:10.1007/s00222-015-0580-1

Nuclear dimension and Z -stability

Yasuhiko Sato, Stuart White, Wilhelm Winter

Research output: Contribution to journal › Article › peer-review

54 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
Pages (from-to)	893-921
Number of pages	29
Journal	Inventiones Mathematicae
Volume	202
Issue number	2
DOIs	https://doi.org/10.1007/s00222-015-0580-1
Publication status	Published - Nov 1 2015
Externally published	Yes

All Science Journal Classification (ASJC) codes

General Mathematics

Access to Document

10.1007/s00222-015-0580-1

Cite this

@article{84b0662c6b7e476fa6f24a8d038e9292,

title = "Nuclear dimension and Z -stability",

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

author = "Yasuhiko Sato and Stuart White and Wilhelm Winter",

note = "Publisher Copyright: {\textcopyright} 2015, The Author(s).",

year = "2015",

month = nov,

day = "1",

doi = "10.1007/s00222-015-0580-1",

language = "English",

volume = "202",

pages = "893--921",

journal = "Inventiones Mathematicae",

issn = "0020-9910",

publisher = "Springer New York",

number = "2",

}

TY - JOUR

T1 - Nuclear dimension and Z -stability

AU - Sato, Yasuhiko

AU - White, Stuart

AU - Winter, Wilhelm

PY - 2015/11/1

Y1 - 2015/11/1

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/84947031858

UR - https://www.scopus.com/inward/citedby.url?scp=84947031858&partnerID=8YFLogxK

U2 - 10.1007/s00222-015-0580-1

DO - 10.1007/s00222-015-0580-1

M3 - Article

AN - SCOPUS:84947031858

SN - 0020-9910

VL - 202

SP - 893

EP - 921

JO - Inventiones Mathematicae

JF - Inventiones Mathematicae

IS - 2

ER -

Nuclear dimension and Z -stability

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this