Diagonal actions in positive characteristic

2017/05/31 by Manfred Einsiedler, M. Einsiedler, Elon Lindenstrauss +3 · 2 citations
Mathematics · #Advanced Operator Algebra Research #Diagonal #Entropy (arrow of time) #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals #Quotient #Rigidity (electromagnetism) #Simple (philosophy) #math.DS #math.GR

paper · pdf · doi:10.1215/00127094-2019-0038

published in Duke Mathematical Journal 169(1) (Duke University Press) · 44 pages

openalex created_date 2017/06/05 · arxiv created 2019/01/25 · openalex publication_date 2019/11/27 · arxiv updated 2020/02/12 · openalex updated_date 2026/08/05

Abstract

We prove positive-characteristic analogues of certain measure rigidity theorems in characteristic 0. More specifically, we give a classification result for positive entropy measures on quotients of SLd and a classification of joinings for higher-rank actions on simply connected, absolutely almost simple groups.

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