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Asymptotic Properties of Unitary Representations of Tree Automorphisms

In: Harmonic Analysis and Discrete Potential Theory

Author

Listed:
  • Alexander Lubotzky

    (Hebrew University, Institute of Mathematics)

  • Shahar Mozes

    (Mathematical Sciences Research Institute)

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.

Suggested Citation

  • Alexander Lubotzky & Shahar Mozes, 1992. "Asymptotic Properties of Unitary Representations of Tree Automorphisms," Springer Books, in: Massimo A. Picardello (ed.), Harmonic Analysis and Discrete Potential Theory, pages 289-298, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4899-2323-3_24
    DOI: 10.1007/978-1-4899-2323-3_24
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