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Ergodic boundary representations

Published online by Cambridge University Press:  04 December 2017

A. BOYER ,
G. LINK  and
CH. PITTET
A. BOYER
Affiliation:
Weizmann Institute of Science, Rehovot, Israel email adrien.boyer@weizmann.ac.il
G. LINK
Affiliation:
KIT, Institut für Algebra und Geometrie, Karlsruher, Germany email gabriele.link@kit.edu
CH. PITTET
Affiliation:
I2M, UMR 7373 CNRS, Aix-Marseille Université, Marseille, France email pittet@math.cnrs.fr
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Abstract

We prove a von Neumann-type ergodic theorem for averages of unitary operators arising from the Furstenberg–Poisson boundary representation (the quasi-regular representation) of any lattice in a non-compact connected semisimple Lie group with finite center.

Type
Original Article
Information
Ergodic Theory and Dynamical Systems , Volume 39 , Issue 8 , August 2019 , pp. 2017 - 2047
Copyright
© Cambridge University Press, 2017 

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