102 citations · 208 across the 53 of their papers we have counts for
55 papers
Topological entropy in continuous orbit equivalence of one-sided topological Markov shifts
Kengo Matsumoto, Hiroki Matui
In this paper, we prove that the continuous orbit equivalence class of a one-sided topological Markov shift contains a one-sided topological Markov shift whose topological entropy…
K-theoretic duality for extensions of Cuntz-Krieger algebras
Kengo Matsumoto
We introduce the notion of K-theoretic duality for extensions of separable unital nuclear -algebras by using K-homology long exact sequence and cyclic six term exact sequence…
On strong extension groups of Cuntz--Krieger algebras
Kengo Matsumoto
In this paper, we study the strong extension groups of Cuntz--Krieger algebras, and present a formula to compute the groups. We also detect the position of the Toeplitz extension o…
One-sided topological conjugacy of normal subshifts and gauge actions on the associated -algebras
Kengo Matsumoto
The class of normal subshifts includes irreducible infinite topological Markov shifts, irreducible infinite sofic shifts, synchronized systems, Dyck shifts, -shifts, substitutio…
On a family of -subalgebras of Cuntz-Krieger algebras
Kengo Matsumoto
In this paper, we study a family of -subalgebras defined by fixed points of generalized gauge actions of a Cuntz-Krieger algebra, by introducing a family of étale groupoids wh…
One-sided topological conjugacy of topological Markov shifts, continuous full groups and Cuntz--Krieger algebras
Kengo Matsumoto
We will characterize topological conjugate one-sided topological Markov shifts in terms of their subgroups of continuous full groups and subalgebras of Cuntz--Krieger algebras.