18 citations · 41 across the 12 of their papers we have counts for
13 papers
Morita equivalence for -operator algebras associated with étale groupoids
Yeong Chyuan Chung, Alonso Delfín, Zhen Wang
We prove that equivalent locally compact, locally Hausdorff, étale groupoids with paracompact unit spaces have Morita equivalent reduced and full -operator algebras for every…
Morita Induction and Preservation of Geometric and Dynamical Ideals
Yeong Chyuan Chung, Xinhui Du
Given Banach algebras with bounded approximate identities that are Morita equivalent in the sense of Paravicini, we give explicit formulas for the induced correspondence of closed…
On some -approximation properties of discrete groups and uniform Roe algebras
Yeong Chyuan Chung
We study -approximation properties of uniform Roe algebras and their connections to coarse geometry and group theory. For bounded geometry metric spaces, property A imp…
Ideal structure of uniform Roe algebras
Yeong Chyuan Chung, Xinhui Du
For a uniformly locally finite coarse space and , we classify the nonzero geometric ideals of the uniform Roe algebra $B_u^p(X,\m…
Morita equivalence of two Roe-type algebras
Yeong Chyuan Chung
Given a metric space with bounded geometry, one may associate with it the uniform Roe algebra and the uniform algebra, both containing information about the large…
Quasi-countable inverse semigroups as metric spaces, and the uniform Roe algebras of locally finite inverse semigroups
Yeong Chyuan Chung, Diego Martínez, Nóra Szakács
Given any quasi-countable, in particular any countable inverse semigroup , we introduce a way to equip with a proper and right subinvariant extended metric. This generalizes…
Property A and coarse embeddability for fuzzy metric spaces
Yeong Chyuan Chung
Property A is a geometric property originally introduced for discrete metric spaces to provide a sufficient condition for coarse embeddability into Hilbert space, and it is defined…
Coarse Baum-Connes conjecture and rigidity for Roe algebras
Bruno de Mendonça Braga, Yeong Chyuan Chung, Kang Li
In this paper, we connect the rigidity problem and the coarse Baum-Connes conjecture for Roe algebras. In particular, we show that if and are two uniformly locally finite m…
Structure and -theory of uniform Roe algebras
Yeong Chyuan Chung, Kang Li
In this paper, we characterize when the uniform Roe algebra of a metric space with bounded geometry is (stably) finite and when it is properly infinite in standard form fo…
Expanders are counterexamples to the coarse Baum-Connes conjecture
Yeong Chyuan Chung, Piotr W. Nowak
We consider an coarse Baum-Connes assembly map for , and show that it is not surjective for expanders arising from residually finite hyperbolic groups.
Rigidity of Roe-type algebras
Yeong Chyuan Chung, Kang Li
We investigate the rigidity of the analog of Roe-type algebras. In particular, we show that if , then an isometric isomorphism between the $\…
Dynamical Complexity and -Theory of Operator Crossed Products
Yeong Chyuan Chung
We apply quantitative (or controlled) -theory to prove that a certain assembly map is an isomorphism for when an action of a countable discrete group …
Quantitative -theory for Banach algebras
Yeong Chyuan Chung
Quantitative (or controlled) -theory for -algebras was used by Guoliang Yu in his work on the Novikov conjecture, and later developed more formally by Yu together with Herv…