Representation theory of topological full groups of ��tale groupoids and paradoxicality

Autor:	Alekseev, Vadim, Finn-Sell, Martin
Rok vydání:	2019
Předmět:	Mathematics::K-Theory and Homology Mathematics::Operator Algebras Mathematics::Category Theory FOS: Mathematics Computer Science::Symbolic Computation Metric Geometry (math.MG) Representation Theory (math.RT) Operator Algebras (math.OA) Mathematics::Symplectic Geometry 22A22 46L55
DOI:	10.48550/arxiv.1912.10767
Popis:	We provide a unified treatment of several results concerning full groups of ample groupoids and paradoxical decompositions attached to them. This includes a criterion for the full group of an ample groupoid being amenable as well as comparison of its orbit, Koopman and groupoid-left-regular representations. Besides that, we unify several recent results about paradoxicality in semigroups and groupoids, relating embeddings of Thompson's group V into full groups of ample ��tale groupoids. 25 pages
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::9ae995966956e425275a3fb7b926270c Zobrazit plný text záznamu