205 citations
- National Astronomical Observatory of JapanJP45 papers
- The University of TokyoJP37 papers
- The Graduate University for Advanced Studies, SOKENDAIJP25 papers
- Nagoya UniversityJP24 papers
- University of TsukubaJP21 papers
- Osaka Prefecture UniversityJP20 papers
- Atacama Large Millimeter Submillimeter ArrayCL19 papers
- Hokkaido UniversityJP12 papers
- National Institutes of Natural SciencesJP12 papers
- Institute of Astronomy and Astrophysics, Academia SinicaTW9 papers
- Institute of Space and Astronautical ScienceJP9 papers
- Nihon UniversityJP9 papers
18 papers · 1 filter
-algebras associated with asymptotic equivalence relations defined by hyperbolic toral automorphisms
Kengo Matsumoto
We study the -algebras of the étale groupoids defined by the asymptotic equivalence relations for hyperbolic automorphisms on the two-dimensional torus. The algebras are prove…
Flow equivalence of topological Markov shifts and Ruelle algebras
Kengo Matsumoto
We study discrete flow equivalence of two-sided topological Markov shifts by using extended Ruelle algebras. We characterize flow equivalence of two-sided topological Markov shifts…
Topological conjugacy of topological Markov shifts and Ruelle algebras
Kengo Matsumoto
We will characterize topologically conjugate two-sided topological Markov shifts in terms of the associated asymptotic Ruelle -algebras …
Asymptotic continuous orbit equivalence of Smale spaces and Ruelle algebras
Kengo Matsumoto
In the first part of the paper, we introduce notions of asymptotic continuous orbit equivalence and asymptotic conjugacy in Smale spaces and characterize them in terms of their asy…
State splitting, strong shift equivalence and stable isomorphism of Cuntz-Krieger algebras
Kengo Matsumoto
We prove that if two nonnegative matrices are strong shift equivalent, the associated stable Cuntz-Krieger algebras with generalized gauge actions are conjugate. The proof is done…
Relative Morita equivalence of Cuntz--Krieger algebras and flow equivalence of topological Markov shifts
Kengo Matsumoto
In this paper, we will introduce notions of relative version of imprimitivity bimodules and relative version of strong Morita equivalence for pairs of -algebras $(\mathcal{A},…