The nuclear dimension of extensions of commutative C*-algebras by the compact operators
Operator Algebras
2023-09-28 v2
Abstract
Generalizing the case of the Toeplitz algebra by Brake and Winter, we prove that the nuclear dimension of a C*-algebra extension of C(X) by the compact operators is equal to the dimension of X.
Keywords
Cite
@article{arxiv.2202.04695,
title = {The nuclear dimension of extensions of commutative C*-algebras by the compact operators},
author = {Ruaridh Gardner and Aaron Tikuisis},
journal= {arXiv preprint arXiv:2202.04695},
year = {2023}
}
Comments
16 pages. To appear in JOT