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Article Dans Une Revue Ergodic Theory and Dynamical Systems Année : 2019

Ergodic boundary representations

Christophe Pittet
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A. Boyer
G. Link
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Résumé

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.

Dates et versions

hal-03664554 , version 1 (11-05-2022)

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Citer

Christophe Pittet, A. Boyer, G. Link, Ch. Pittet. Ergodic boundary representations. Ergodic Theory and Dynamical Systems, 2019, 39 (8), pp.2017-2047. ⟨10.1017/etds.2017.118⟩. ⟨hal-03664554⟩
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