Ergodic boundary representations
classification
🧮 math.DS
keywords
boundaryergodicrepresentationarisingaveragescenterconnectedfinite
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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.
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