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- National Astronomical Observatory of JapanJP45 papers
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- The Graduate University for Advanced Studies, SOKENDAIJP25 papers
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- Osaka Prefecture UniversityJP20 papers
- Atacama Large Millimeter Submillimeter ArrayCL19 papers
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4 papers · 2 filters
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},…
Imprimitivity bimodules of Cuntz--Krieger algebras and strong shift equivalences of matrices
Kengo Matsumoto
In this paper, we will introduce a notion of basis related Morita equivalence in the Cuntz--Krieger algebras with the canonical right finit…
Uniformly continuous orbit equivalence of Markov shifts and gauge actions on Cuntz-Krieger algebras
Kengo Matsumoto
We introduce a notion of uniformly continuous orbit equivalence as a subequivalence relation of continuous orbit equivalence of one-sided topological Markov shifts. It is described…