Long thin covers and nuclear dimension

I Hirshberg, J Wu - arXiv preprint arXiv:2308.12504, 2023 - arxiv.org
We establish finite nuclear dimension for crossed product C*-algebras arising from various
classes of possibly non-free topological actions, including arbitrary actions of finitely …

Free actions of polynomial growth Lie groups and classifiable C*-algebras

U Enstad, G Favre, S Raum - arXiv preprint arXiv:2307.15013, 2023 - arxiv.org
We show that any free action of a connected Lie group of polynomial growth on a finite
dimensional locally compact space has finite tube dimension. This is shown to imply that the …

The extension of cochain complexes of meromorphic functions to multiplications

D Levin, A Zuevsky - Advances in Operator Theory, 2023 - Springer
Let g be an infinite-dimensional Lie algebra and G be the algebraic completion of its
module. Using a geometric interpretation in terms of sewing two Riemann spheres with a …

The nuclear dimension of extensions of commutative C*-algebras by the compact operators

R Gardner, A Tikuisis - arXiv preprint arXiv:2202.04695, 2022 - arxiv.org
arXiv:2202.04695v2 [math.OA] 26 Sep 2023 Page 1 arXiv:2202.04695v2 [math.OA] 26 Sep
2023 THE NUCLEAR DIMENSION OF EXTENSIONS OF COMMUTATIVE C*-ALGEBRAS BY …