2 citations · 5 across the 8 of their papers we have counts for
8 papers
The diagonal dimension of sub-C*-algebras
Kang Li, Hung-Chang Liao, Wilhelm Winter
We introduce diagonal dimension, a version of nuclear dimension for diagonal sub-C*-algebras (sometimes also referred to as diagonal C*-pairs). Our concept has good permanence prop…
Comparison and Simplicity of Commutator Subgroups of Full Groups
Hung-Chang Liao
We show that for a minimal, second countable, locally compact Hausdorff étale groupoid whose unit space is homeomorphic to the Cantor set, if the groupoid has comparison then the c…
Almost finiteness, comparison, and tracial -stability
Hung-Chang Liao, Aaron Tikuisis
Inspired by Kerr's work on topological dynamics, we define tracial -stability for sub--algebras. We prove that for a countable discrete amenable group acting…
A note on crossed products of rotation algebras
Christian Bönicke, Sayan Chakraborty, Zhuofeng He +1
We compute the -theory of crossed products of rotation algebras , for any real angle , by matrices in with infinite order. Using te…
Isomorphism and Morita equivalence classes for crossed products of irrational rotation algebras by cyclic subgroups of
Christian Bönicke, Sayan Chakraborty, Zhuofeng He +1
Let be irrational numbers and be matrices in of infinite order. We compute the -theory of the crossed product $\mathcal{A}_θ\rtimes_A \mathbb{Z…
Classification of Uniform Roe algebras of locally finite groups
Kang Li, Hung-Chang Liao
We study the uniform Roe algebras associated to locally finite groups. We show that for two countable locally finite groups and , the associated uniform Roe algebras $C^*_u(…
Rokhlin dimension of Z^m actions on simple C*-algebras
Hung-Chang Liao
We study Rokhlin dimension of Z^m-actions on simple separable stably finite nuclear C*-algebras. We prove that under suitable assumptions, a strongly outer Z^m-action has finite Ro…
A Rokhlin type theorem for simple C*-algebras of finite nuclear dimension
Hung-Chang Liao
We study Z-actions on unital simple separable stably finite C*-algebras of finite nuclear dimension. Assuming that the extreme boundary of the trace space is compact and finite dim…