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april 2017 An ergodic theorem for the quasi-regular representation of the free group
Adrien Boyer, Antoine Pinochet Lobos
Bull. Belg. Math. Soc. Simon Stevin 24(2): 243-255 (april 2017). DOI: 10.36045/bbms/1503453708

Abstract

We prove the weak-$*$ convergence of a certain sequence of averages of unitary operators associated to the action of the free group on its Gromov boundary. This result, which can be thought as an ergodic theorem à la von Neumann with coefficients, provides a new proof of the irreducibility of the quasi-regular representation of the free group.

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Adrien Boyer. Antoine Pinochet Lobos. "An ergodic theorem for the quasi-regular representation of the free group." Bull. Belg. Math. Soc. Simon Stevin 24 (2) 243 - 255, april 2017. https://doi.org/10.36045/bbms/1503453708

Information

Published: april 2017
First available in Project Euclid: 23 August 2017

zbMATH: 1384.37008
MathSciNet: MR3694001
Digital Object Identifier: 10.36045/bbms/1503453708

Subjects:
Primary: 437
Secondary: 43, 47

Rights: Copyright © 2017 The Belgian Mathematical Society

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Vol.24 • No. 2 • april 2017
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