An ergodic theorem for the quasi-regular representation of the free group
نویسندگان
چکیده
منابع مشابه
An Ergodic Theorem for the Quasi-regular Representation of the Free Group
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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ژورنال
عنوان ژورنال: Bulletin of the Belgian Mathematical Society - Simon Stevin
سال: 2017
ISSN: 1370-1444
DOI: 10.36045/bbms/1503453708