Asymptotic Properties of Unitary Representations of Tree Automorphisms

Alexander Lubotzky and Shahar Mozes
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Alexander Lubotzky: Hebrew University, Institute of Mathematics
Shahar Mozes: Mathematical Sciences Research Institute

A chapter in Harmonic Analysis and Discrete Potential Theory, 1992, pp 289-298 from Springer

Abstract: Abstract An analogue of the Howe-Moore theorem for vanishing of matrix coefficients of representations of certain semisimple Lie groups is proved for certain automorphism groups of a regular or bi-regular trees. It is also shown that for measure preserving actions of some such groups ergodicity implies mixing of all orders.

Keywords: Normal Subgroup; Unitary Representation; Invariant Vector; Probability Measure Space; Tree Automorphism (search for similar items in EconPapers)
Date: 1992
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4899-2323-3_24

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DOI: 10.1007/978-1-4899-2323-3_24

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