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Amenability and Margulis Super-Rigidity

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Representation Theory and Complex Analysis

Part of the book series: Lecture Notes in Mathematics ((LNMCIME,volume 1931))

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Amenability was introduced in 1929 by J. von Neumann [vN29] for discrete groups, and in 1950 by M. Day [Day50] for general locally compact groups. Originating from harmonic analysis and representation theory, amenability extended to a well-established body of mathematics, with applications in: dynamical systems, operator algebras, graph theory, metric geometry,… One definite advantage of amenability for groups is the equivalence of various, apparently remote, characterizations.

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Author information

Authors and Affiliations

  1. Institut de Mathématiques, University of Neuchâtel, 11, Rue Emile Argand, 2009, Neuchâtel, Switzerland

    Alain Valette

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  1. Alain Valette
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Editor information

Editors and Affiliations

  1. Dipartimento di Matematica “G. Castelnuovo”, Sapienza Università di Roma, Piazzale A. Moro 2, 00185, Roma, Italy

    Enrico Casadio Tarabusi

  2. Dipartimento di Matematica Pura ed Applicata, Università degli Studi di Padova, Via Trieste, 63, 35121, Padova, Italy

    Andrea D'Agnolo

  3. Dipartimento di Matematica, Università di Roma “Tor Vergata”, Via della Ricerca Scientifica, 00133, Roma, Italy

    Massimo Picardello

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Valette, A. (2008). Amenability and Margulis Super-Rigidity. In: Tarabusi, E.C., D'Agnolo, A., Picardello, M. (eds) Representation Theory and Complex Analysis. Lecture Notes in Mathematics, vol 1931. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-76892-0_4

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