English
Amenability and hyperfiniteness for group actions on trees
Multi angle
Auteurs : Spaas, Pieter (Auteur de la Conférence)
CIRM (Editeur )
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 (Editeur )
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Résumé :
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
Codes MSC : 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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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 13/05/2024 Date de captation : 25/04/2024 Sous collection : Research talks arXiv category : Group Theory ; Logic ; Operator Algebras Domaine : Analysis and its Applications ; Logic and Foundations Format : MP4 (.mp4) - HD Durée : 00:49:11 Audience : Researchers ; Graduate Students ; Doctoral Students, Post-Doctoral Students Download : https://videos.cirm-math.fr/2024-04-25_Spaas.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Group operator algebras and Non commutative geometry / Algèbres d'opérateurs de groupes et Geometrie non commutativeOrganisateurs de la rencontre : Androulidakis, Iakovos ; Debord, Claire ; Germain, Emmanuel ; Houdayer, Cyril Dates : 22/04/2024 - 26/04/2024 Année de la rencontre : 2024 URL Congrès : https://conferences.cirm-math.fr/2987.html
Données de citation
DOI : 10.24350/CIRM.V.20166103Citer cette vidéo: 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 |
Voir aussi
- [Multi angle] On maximally hypoelliptic differential operators / Auteur de la Conférence Mohsen, Omar.
- [Multi angle] A gentle introduction to type III factors and Connes' Bicentralizer Problem / Auteur de la Conférence Marrakchi, Amine.
- [Multi angle] C*-algebras associated with boundary actions of certain torsion-free hyperbolic groups / Auteur de la Conférence Geffen, Shirly.
- [Multi angle] Spheres, Euler classes and the K-theory of C*-algebras of subproduct systems / Auteur de la Conférence Arici, Francesca.
Bibliographie
- 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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