Yeong Chyuan Chung

I am a mathematician specializing in operator algebras and K-theory. My research focuses on studying Lp operator algebras, particularly Lp Roe algebras and their applications to large-scale geometry. I previously worked with Piotr Nowak on showing that expanders provide counterexamples to the Lp coarse Baum-Connes conjecture.

A major theme in my work has been developing and extending methods that were previously only available for C*-algebras. This has allowed me to study rigidity properties of Lp Roe algebras and prove isomorphism results for assembly maps under finite dynamic asymptotic dimension assumptions.

More recently, I have been investigating Morita equivalence between different types of Lp operator algebras and studying the metric geometry of inverse semigroups, particularly examining their uniform Roe algebras and asymptotic dimension properties. My work combines techniques from operator algebras, geometric group theory, and coarse geometry to understand the interplay between analytic and geometric structures.