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 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 n…
Read More ↓Title Statements
- Full title :Hyperbolic groupoids and duality / Volodymyr V. Nekrashevych.
Summary
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 \
Read More ↓Edition Statements
- Publication Date:©2015
Publication Statements
- Publisher(s):American mathematical Society
- Place of Publication:Providence, Rhode Island
- Language:eng
- Publication Date:©2015
Notes
"Volume 237, number 1122 (sixth of 6 numbers), September 2015."
The Physical Object
- Description:1 online resource (v, 108 pages) : : illustrations
Edition Identifiers
- ISBN:9781470425111, 1470425114
- oclc:ocn917875664
- LC Classification:QA171
- Dewey Decimal:512/.2
Table of Contents
Introduction -- Technical preliminaries -- Preliminaries on groupoids and pseudogroups -- Hyperbolic groupoids -- Smale quasi-flows and duality -- Examples of hyperbolic groupoids and their duals -- Bibliography -- Index.
Read More ↓Subjects
Writers
More from this Series
No reviews yet. Be the first to rate this work.
Related Works
more →
Complex semisimple quantum groups and representation theory
Voigt, Christian, (Reader in Mathematics)
Symmetries and group theory in particle physics: an introduction to space-time and inter…
Costa, Giovanni
Files & Downloads
-
Hyperbolic Groupoids and Duality -- (.pdf)
PDF · 1022.0 KB · updated
Rate & Review