| Título: | Z(d) group shifts and Bernoulli factors |
| Autores: |
Boyle, Mike Schraudner, Michael |
| Fecha: |
2010-01-11 2010-01-11 2008-04 |
| Publicador: | CAMBRIDGE UNIV PRESS |
| Fuente: |
Ver documento |
| Tipo: | Artículo de Revista |
| Tema: |
COMPACT ABELIAN-GROUPS AUTOMORPHISMS ENTROPY CLASSIFICATION |
| Descripción: | In this paper, a group shift is an expansive action of Z(d) on a compact metrizable zero-dimensional group by continuous automorphisms. All group shifts factor topologically onto equal-entropy Bernoulli shifts; abelian group shifts factor by continuous group homomorphisms onto canonical equal-entropy Bernoulli group shifts; and completely positive entropy abelian group shifts are weakly algebraically equivalent to these Bernoulli factors. A completely positive entropy group (even vector) shift need not be topologically conjugate to a Bernoulli shift, and the Pinsker factor of a vector shift need not split topologically. |
| Idioma: | Inglés |