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Hyperbolic groupoids and duality /
The author introduces a notion of hyperbolic groupoids, generalizing the notion of a Gromov hyperbolic group. Examples of hyperbolic groupoids include actions of Gromov hyperbolic groups on their boundaries, pseudogroups generated by expanding self-coverings, natural pseudogroups acting on leaves of...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2015.
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| Colección: | Memoirs of the American Mathematical Society ;
no. 1122. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | The author introduces a notion of hyperbolic groupoids, generalizing the notion of a Gromov hyperbolic group. Examples of hyperbolic groupoids include actions of Gromov hyperbolic groups on their boundaries, pseudogroups generated by expanding self-coverings, natural pseudogroups acting on leaves of stable (or unstable) foliation of an Anosov diffeomorphism, etc. The author describes a duality theory for hyperbolic groupoids. He shows that for every hyperbolic groupoid \mathfrak{G} there is a naturally defined dual groupoid \mathfrak{G}^\top acting on the Gromov boundary of a Cayley graph of \ |
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| Notas: | "Volume 237, number 1122 (sixth of 6 numbers), September 2015." |
| Descripción Física: | 1 online resource (v, 108 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 103-105) and index. |
| ISBN: | 9781470425111 1470425114 |
| ISSN: | 0065-9266 ; |