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The essential range of a nonabelian cocycle is not a cohomology invariant

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Abstract

We show by way of examples that the essential range of a nonabelian cocycle is in general not invariant under cocycle cohomology, and differs in general from the essential range of an induced cocycle.

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Authors and Affiliations

  1. Institute for Dynamical Systems, University of Bremen, P. O. Box 330 440, 28334, Bremen, Germany

    L. Arnold

  2. Hanoi Institute of Mathematics, P. O. Box 631 Bo Ho, 10000, Hanoi, Vietnam

    Nguyen Dinh Cong

  3. Department of Mechanics and Mathematics, Moscow State University, 119 899, Moscow, Russia

    V. I. Oseledets

Authors
  1. L. Arnold
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  2. Nguyen Dinh Cong
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  3. V. I. Oseledets
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Correspondence to L. Arnold.

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Arnold, L., Nguyen, D.C. & Oseledets, V.I. The essential range of a nonabelian cocycle is not a cohomology invariant. Isr. J. Math. 116, 71–76 (2000). https://doi.org/10.1007/BF02773212

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  • DOI: https://doi.org/10.1007/BF02773212

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