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On L2-cohomology and Property (T) for Automorphism Groups of Polyhedral Cell Complexes

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Abstract.

We present an update of Garland's work on the cohomology of certain groups, construct a class of groups many of which satisfy Kazhdan's Property (T) and show that properly discontinuous and cocompact groups of automorphisms of (4,4) or (6,3)-complexes do not satisfy Property (T).

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Authors and Affiliations

  1. Werner Ballmann, Mathematisches Institut, Universität Bonn, Wegelerstrasse 10, 53115 Bonn, Germany, e-mail: ballmann@rhein.iam.uni-bonn.de, Germany

    W. Ballmann

  2. Jacek Światkowski, Uniwersytet Wrocławski, pl. Grunwaldzki 2/4, Instytut Matematyczny, 50-384 Wrocław, Poland e-mail: swiatkow@math.uni.wroc.pl, Poland

    J. Światkowski

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  1. W. Ballmann
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  2. J. Światkowski
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Submitted: September 1996, final version: March 1997

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Ballmann, W., Światkowski, J. On L2-cohomology and Property (T) for Automorphism Groups of Polyhedral Cell Complexes. Geom. Funct. Anal. 7, 615–645 (1997). https://doi.org/10.1007/s000390050022

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  • DOI: https://doi.org/10.1007/s000390050022

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