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Continuous cocycles on locally compact groups

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Aequationes mathematicae Aims and scope Submit manuscript

Summary.

We provide an elementary way to compute continuous solutions of the 2-cocycle functional equation on solvable locally compact groups. Examples are given for certain linear groups. By “elementary” we mean that nothing is used from differential geometry, theory of Lie groups, or group cohomology.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, Mississippi State University, PO Drawer MA, Mississippi State, MS, 39762, USA

    Bruce Ebanks

  2. Department of Mathematical Sciences, University of Aarhus, Ny Munkegade, Building 1530, DK-8000, Aarhus C, Denmark

    Henrik Stetkær

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  1. Bruce Ebanks
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  2. Henrik Stetkær
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Correspondence to Bruce Ebanks.

Additional information

Manuscript received: April 11, 2008 and, in final form, May 29, 2009.

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Ebanks, B., Stetkær, H. Continuous cocycles on locally compact groups. Aequat. Math. 78, 123 (2009). https://doi.org/10.1007/s00010-009-2970-1

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  • DOI: https://doi.org/10.1007/s00010-009-2970-1

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