The type semigroup, comparison, and almost finiteness for ample groupoids

P Ara, C Bönicke, J Bosa, K Li - Ergodic Theory and Dynamical …, 2023 - cambridge.org
We prove that a minimal second countable ample groupoid has dynamical comparison if
and only if its type semigroup is almost unperforated. Moreover, we investigate to what …

Almost finiteness and homology of certain non-free actions.

E Ortega, E Scarparo - Groups, Geometry & Dynamics, 2023 - ems.press
We show that Cantor minimal Z Ì Z2-systems and essentially free amenable odometers are
almost finite. We also compute the homology groups of Cantor minimal Z Ì Z2-systems and …

[PDF][PDF] On tracial Z-stability of simple non-unital C*-algebras

J Castillejos, K Li, G Szabo - Canadian Journal Of Mathematics …, 2023 - lirias.kuleuven.be
ON TRACIAL Z-STABILITY OF SIMPLE NON-UNITAL C∗-ALGEBRAS Introduction The Jiang-Su
algebra Z has become a cornerstone in the cl Page 1 ON TRACIAL Z-STABILITY OF SIMPLE …

Tracial states on groupoid -algebras and essential freeness

K Li, J Zhang - arXiv preprint arXiv:2401.15546, 2024 - arxiv.org
Let $\mathcal {G} $ be a locally compact Hausdorff\'{e} tale groupoid. We call a tracial state
$\tau $ on a general groupoid $ C^* $-algebra $ C_\nu^*(\mathcal {G}) $ canonical if …

Applications of classification of C*-algebras

RM Neagu - 2024 - ora.ox.ac.uk
In this thesis, we will use classification results for C∗-algebras and∗-homomorphisms
between them to characterise nuclear dimension equal to zero for a large class of∗ …

Almost finiteness and homology of certain non-free actions

E Ortega Esparza, E Scarparo - 2023 - ntnuopen.ntnu.no
We show that Cantor minimal Z⋊ Z2\mathbb {Z}\rtimes\mathbb {Z} _2Z⋊ Z2​-systems and
essentially free amenable odometers are almost finite. We also compute the homology …

On tracial-algebras

J Castillejos, K Li, G Szabó - Canadian Journal of Mathematics, 2021 - cambridge.org
On tracial Z-stability of simple non-unital C -algebras Page 1 Canad. J. Math. 2023, pp. 1–20
http://dx.doi.org/10.4153/S0008414X23000202 © The Author(s), 2023. Published by Cambridge …