Diagonal actions in positive characteristic

Manfred Einsiedler; Elon Lindenstrauss; Amir Mohammadi

doi:10.1215/00127094-2019-0038

Diagonal actions in positive characteristic

Manfred Einsiedler, Elon Lindenstrauss, Amir Mohammadi

Einstein Institute of Mathematics

The Hebrew University of Jerusalem

Research output: Contribution to journal › Article › peer-review

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 SL_d and a classification of joinings for higher-rank actions on simply connected, absolutely almost simple groups.

Original language	English
Pages (from-to)	117-175
Number of pages	59
Journal	Duke Mathematical Journal
Volume	169
Issue number	1
DOIs	https://doi.org/10.1215/00127094-2019-0038
State	Published - 15 Jan 2020

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1215/00127094-2019-0038

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AU - Mohammadi, Amir

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AB - 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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U2 - 10.1215/00127094-2019-0038

DO - 10.1215/00127094-2019-0038

M3 - مقالة

SN - 0012-7094

VL - 169

SP - 117

EP - 175

JO - Duke Mathematical Journal

JF - Duke Mathematical Journal

IS - 1

ER -

Diagonal actions in positive characteristic

Abstract

All Science Journal Classification (ASJC) codes

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