Nuclear dimension and Z-stability
Simple, separable, unital, monotracial and nuclear C$^*$-algebras are shown to have finite nuclear dimension whenever they absorb the Jiang-Su algebra $\mathcal{Z}$ tensorially. This completes the proof of the Toms-Winter conjecture in the unique trace case.
Main Authors: | Sato, Y, White, S, Winter, W |
---|---|
Format: | Journal article |
Published: |
Springer Verlag
2015
|
Similar Items
-
Nuclear dimension of simple C*-algebras
by: Castillejos, J, et al.
Published: (2020) -
Nuclear dimension of simple C*-algebras
by: Castillejos, J, et al.
Published: (2020) -
Covering dimension of C*-algebras and 2-coloured classification
by: Bosa, J, et al.
Published: (2019) -
The nuclear dimension of O∞-stable-C*-algebras
by: Bosa, J, et al.
Published: (2022) -
Quasidiagonality of nuclear C**-algebras
by: Tikuisis, A, et al.
Published: (2017)