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

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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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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Keywords

  • Proper Subgroup
  • Standard Basis Vector
  • Compact Topological Group
  • Ergodic Transformation
  • Group Homeomorphism