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On contraction groups of automorphisms of totally disconnected locally compact groups

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Abstract

We prove that recent results of Baumgartner and Willis on contraction groups of automorphisms of metrizable totally disconnected locally compact groups (Israel J. Math. 142 (2004), 221–248) remain true for non-metrizable groups.

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References

  1. U. Baumgartner and G. A. Willis, Contraction groups and scales of automorphisms of totally disconnected locally compact groups, Israel Journal of Mathematics 142 (2004), 221–248.

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  2. H. Glöckner, Contraction groups for tidy automorphisms of totally disconnected groups, Glasgow Mathematical Journal 47 (2005), 329–333.

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  3. E. Hewitt and K. Ross, Abstract Harmonic Analysis, vol. I, 2nd ed., Springer Verlag, New York, 1979.

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Supported by an NSERC Grant.

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Jaworski, W. On contraction groups of automorphisms of totally disconnected locally compact groups. Isr. J. Math. 172, 1–8 (2009). https://doi.org/10.1007/s11856-009-0059-0

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  • DOI: https://doi.org/10.1007/s11856-009-0059-0

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