MATUI Hiroki

MATUI Hiroki is a professor at the Graduate School of Mathematical Sciences, The University of Tokyo. His research focuses on operator algebras, particularly the study of dynamical systems formed by homeomorphisms on compact spaces through the lens of C*-algebras. His main research themes include K-theoretic classification of C*-algebras, group actions on C*-algebras, and analysis of topological full groups. His work explores classification of C*-algebras associated with dynamical systems via K-theory and various invariants of groupoids and topological full groups. Selected publications include studies on Poly-Z group actions on Kirchberg algebras and continuous orbit equivalence of topological Markov shifts.

Hiroki Matui is a researcher in Operator Algebras and Dynamical Systems, focusing on the interplay between étale groupoids, topological full groups, and C*-algebras. His work explores the structure of dynamical systems, particularly Cantor minimal systems, shifts of finite type, and their associated groupoids. He investigates properties such as strict comparison, -absorption, and Z-stability in nuclear C*-algebras, often in the context of crossed products and actions of groups like Z^N. His research contributes to the classification of dynamical systems and their algebraic counterparts, emphasizing the role of topological full groups in understanding orbit equivalence and continuous orbit equivalence.