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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Nekrashevych, Volodymyr, 1975- (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Providence, Rhode Island : American Mathematical Society, 2015.
Colección:Memoirs of the American Mathematical Society ; no. 1122.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Nekrashevych, Volodymyr,  |d 1975-  |e author.  |1 https://id.oclc.org/worldcat/entity/E39PCjMpVv3h7y9qjDRH67WbV3 
245 1 0 |a Hyperbolic groupoids and duality /  |c Volodymyr V. Nekrashevych. 
264 1 |a Providence, Rhode Island :  |b American Mathematical Society,  |c 2015. 
264 4 |c ©2015 
300 |a 1 online resource (v, 108 pages) :  |b illustrations 
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490 1 |a Memoirs of the American Mathematical Society,  |x 0065-9266 ;  |v volume 237, number 1122 
588 0 |a Online resource; title from PDF title page (viewed October 6, 2015). 
504 |a Includes bibliographical references (pages 103-105) and index. 
500 |a "Volume 237, number 1122 (sixth of 6 numbers), September 2015." 
505 0 |a Introduction -- Technical preliminaries -- Preliminaries on groupoids and pseudogroups -- Hyperbolic groupoids -- Smale quasi-flows and duality -- Examples of hyperbolic groupoids and their duals -- Bibliography -- Index. 
520 |a 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 \ 
590 |a ProQuest Ebook Central  |b Ebook Central Academic Complete 
650 0 |a Hyperbolic groups. 
650 0 |a Groupoids. 
650 0 |a Group theory. 
650 0 |a Duality theory (Mathematics) 
650 6 |a Groupes hyperboliques. 
650 6 |a Groupoïdes. 
650 6 |a Théorie des groupes. 
650 6 |a Principe de dualité (Mathématiques) 
650 7 |a Duality theory (Mathematics)  |2 fast 
650 7 |a Group theory  |2 fast 
650 7 |a Groupoids  |2 fast 
650 7 |a Hyperbolic groups  |2 fast 
710 2 |a American Mathematical Society,  |e publisher. 
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830 0 |a Memoirs of the American Mathematical Society ;  |v no. 1122. 
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