Hyperbolic Groupoids and Duality is popular PDF and ePub book, written by Volodymyr Nekrashevych in 2015, it is a fantastic choice for those who relish reading online the Duality theory (Mathematics) genre. Let's immerse ourselves in this engaging Duality theory (Mathematics) book by exploring the summary and details provided below. Remember, Hyperbolic Groupoids and Duality can be Read Online from any device for your convenience.
Hyperbolic Groupoids and Duality Book PDF Summary
We introduce 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. We describe a duality theory for hyperbolic groupoids. We show that for every hyperbolic groupoid G there is a naturally defined dual groupoid G⊤ acting on the Gromov boundary of a Cayley graph of G. The groupoid G⊤ is also hyperbolic and such that (G⊤)⊤ is equivalent to G. Several classes of examples of hyperbolic groupoids and their applications are discussed.
Detail Book of Hyperbolic Groupoids and Duality PDF
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- Author : Volodymyr Nekrashevych
- Release : 01 July 2024
- Publisher : Unknown
- ISBN : 1470425114
- Genre : Duality theory (Mathematics)
- Total Page : 108 pages
- Language : English
- PDF File Size : 17,9 Mb
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