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 a 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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Schedule a callMore From: Bulletin of the Belgian Mathematical Society - Simon Stevin
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