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Amenability and hyperfiniteness for group actions on trees
Multi angle
Authors : Spaas, Pieter (Author of the conference)
CIRM (Publisher )
03E15 - Descriptive set theory
37D40 - Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.)
54H05 - Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets), See also {03E15, 04A15, 26A21, 28A05}
CIRM (Publisher )
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Abstract :
We identify natural conditions on group actions on trees which imply that the induced action on the boundary is (Borel/measure) hyperfinite. We will consider the differences between the Borel and measurable versions, and discuss different notions of amenability which arise in the proofs.
Keywords : Gromov boundary; group action; amenable; hyperfinite
MSC Codes : Keywords : Gromov boundary; group action; amenable; hyperfinite
03E15 - Descriptive set theory
37D40 - Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.)
54H05 - Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets), See also {03E15, 04A15, 26A21, 28A05}
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 13/05/2024 Conference Date : 25/04/2024 Subseries : Research talks arXiv category : Group Theory ; Logic ; Operator Algebras Mathematical Area(s) : Analysis and its Applications ; Logic and Foundations Format : MP4 (.mp4) - HD Video Time : 00:49:11 Targeted Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2024-04-25_Spaas.mp4 
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Information on the Event
Event Title : Group operator algebras and Non commutative geometry / Algèbres d'opérateurs de groupes et Geometrie non commutativeEvent Organizers : Androulidakis, Iakovos ; Debord, Claire ; Germain, Emmanuel ; Houdayer, Cyril Dates : 22/04/2024 - 26/04/2024 Event Year : 2024 Event URL : https://conferences.cirm-math.fr/2987.html
Citation Data
DOI : 10.24350/CIRM.V.20166103Cite this video as: Spaas, Pieter (2024). Amenability and hyperfiniteness for group actions on trees. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.20166103 URI : http://dx.doi.org/10.24350/CIRM.V.20166103 |
See Also
- [Multi angle] On maximally hypoelliptic differential operators / Author of the conference Mohsen, Omar.
- [Multi angle] A gentle introduction to type III factors and Connes' Bicentralizer Problem / Author of the conference Marrakchi, Amine.
- [Multi angle] C*-algebras associated with boundary actions of certain torsion-free hyperbolic groups / Author of the conference Geffen, Shirly.
- [Multi angle] Spheres, Euler classes and the K-theory of C*-algebras of subproduct systems / Author of the conference Arici, Francesca.
Bibliography
- ELAYAVALLI, Srivatsav Kunnawalkam, OYAKAWA, Koichi, SHINKO, Forte, et al. Hyperfiniteness for group actions on trees. arXiv preprint arXiv:2307.10964, 2023. - https://doi.org/10.48550/arXiv.2307.10964
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