scholarly journals On flow equivalence of one-sided topological Markov shifts

2016 ◽  
Vol 144 (7) ◽  
pp. 2923-2937 ◽  
Author(s):  
Kengo Matsumoto
Keyword(s):  
Markov Shifts ◽  
Flow Equivalence

On C*-Algebras Associated with Subshifts

1997 ◽  
Vol 08 (03) ◽  
pp. 357-374 ◽  
Author(s):  
Kengo Matsumoto
Keyword(s):  
Symbolic Dynamics ◽  
Markov Shift ◽  
C Algebra ◽  
C Algebras ◽  
Markov Shifts ◽  
Universal Properties

We construct and study C*-algebras associated with subshifts in symbolic dynamics as a generalization of Cuntz–Krieger algebras for topological Markov shifts. We prove some universal properties for the C*-algebras and give a criterion for them to be simple and purely infinite. We also present an example of a C*-algebra coming from a subshift which is not conjugate to a Markov shift.

Bowen–Franks groups as an invariant for flow equivalence of subshifts

2001 ◽  
Vol 21 (06) ◽  
Author(s):  
KENGO MATSUMOTO
Keyword(s):  
Flow Equivalence

scholarly journals Irreducible complexity of iterated symmetric bimodal maps

2005 ◽  
Vol 2005 (1) ◽  
pp. 69-85 ◽  
Author(s):  
J. P. Lampreia ◽  
R. Severino ◽  
J. Sousa Ramos
Keyword(s):  
Tree Structure ◽  
Unimodal Maps ◽  
Markov Shifts ◽  
Irreducible Complexity ◽  
The Family

We introduce a tree structure for the iterates of symmetric bimodal maps and identify a subset which we prove to be isomorphic to the family of unimodal maps. This subset is used as a second factor for a∗-product that we define in the space of bimodal kneading sequences. Finally, we give some properties for this product and study the∗-product induced on the associated Markov shifts.

A Note on Nonexpansive, Essentially LR Automorphisms of Topological Markov Shifts

2013 ◽  
Vol 126 (1) ◽  
pp. 319-326
Author(s):  
Masakazu Nasu
Keyword(s):  
Markov Shifts

scholarly journals A class of Markov shifts which are Bernoulli shifts

1971 ◽  
Vol 6 (3) ◽  
pp. 323-328 ◽  
Author(s):  
Robert McCabe ◽  
Paul Shields
Keyword(s):  
Bernoulli Shifts ◽  
Markov Shifts
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