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OverviewThe 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 $\mathfrak{G}$. The groupoid $\mathfrak{G}^\top$ is also hyperbolic and such that $(\mathfrak{G}^\top)^\top$ is equivalent to $\mathfrak{G}$. Several classes of examples of hyperbolic groupoids and their applications are discussed. Full Product DetailsAuthor: Volodymyr NekrashevychPublisher: American Mathematical Society Imprint: American Mathematical Society Volume: 1122 Weight: 0.183kg ISBN: 9781470415440ISBN 10: 1470415445 Pages: 108 Publication Date: 30 August 2015 Audience: College/higher education , Tertiary & Higher Education Format: Paperback Publisher's Status: Active Availability: Out of stock  The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsIntroduction Technical preliminaries Preliminaries on groupoids and pseudogroups Hyperbolic groupoids Smale quasi-flows and duality Examples of hyperbolic groupoids and their duals Bibliography IndexReviewsAuthor InformationVolodymyr Nekrashevych, Texas A & M University, College Station, Texas, USA. Tab Content 6Author Website:Countries AvailableAll regions |
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