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Roughness and approximation of quasi-representations of amenable groups

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Abstract

Sufficient conditions are obrained for a quasi-representation (not necessarily bounded) of an amenable group (topological in general) to be a bounded perturbation of an ordinary representation. In particular, it is shown that an arbitrary (not necessarily bounded) finite-dimensional quasi-representation of an amenable topological group is a bounded perturbation of an ordinary representation.

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Authors and Affiliations

  1. M. V. Lomonosov Moscow State University, Moscow, USSR

    A. I. Shtern

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  1. A. I. Shtern
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Translated fromMatematicheskie Zametki, Vol. 65, No. 6, pp. 908–920, June, 1999.

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Shtern, A.I. Roughness and approximation of quasi-representations of amenable groups. Math Notes 65, 760–769 (1999). https://doi.org/10.1007/BF02675591

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  • DOI: https://doi.org/10.1007/BF02675591

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