Actions of acylindrically hyperbolic groups on $\ell^1$

Autor:	Drutu, Cornelia, Mackay, John M.
Rok vydání:	2023
Předmět:	Mathematics - Group Theory Mathematics - Functional Analysis
Druh dokumentu:	Working Paper
Popis:	We construct affine uniformly Lipschitz actions on $\ell^1$ and $L^1$ for certain groups with hyperbolic features. For acylindrically hyperbolic groups, our actions have unbounded orbits, while for residually finite hyperbolic groups and for mapping class groups, the actions have proper orbits, with the induced $L^1$-metric quasi-isometric (respectively, almost quasi-isometric) to the word metric. Comment: 38 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2309.12915 Zobrazit plný text záznamu View this record from Arxiv