scholarly journals A class of Markov shifts which are Bernoulli shifts

1971 ◽  
Vol 6 (3) ◽  
pp. 323-328 ◽  
Author(s):  
Robert McCabe ◽  
Paul Shields
1997 ◽  
Vol 08 (03) ◽  
pp. 357-374 ◽  
Author(s):  
Kengo Matsumoto

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.


Author(s):  
Salud Bartoll ◽  
Félix Martínez-Giménez ◽  
Marina Murillo-Arcila ◽  
Alfredo Peris

2005 ◽  
Vol 2005 (1) ◽  
pp. 69-85 ◽  
Author(s):  
J. P. Lampreia ◽  
R. Severino ◽  
J. Sousa Ramos

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.


1993 ◽  
Vol 121 (1) ◽  
pp. 117-131 ◽  
Author(s):  
Cornelis Kraaikamp
Keyword(s):  

2019 ◽  
Vol 266 (12) ◽  
pp. 8492-8518
Author(s):  
Bráulio Garcia ◽  
Valentín Mendoza

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