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Projections inC *-algebras of nilpotent groups

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Abstract

In this paper we investigate the nature of projections in theC *-algebras of nilpotent locally compact groups and of the associated compact open subsets in their dual spaces. We obtain explicit descriptions of all projections inL 1(G) whenG is a connected nilpotent group and inC *(G) whenG is an infinite discrete nilpotent group the torsion subgroup of which is contained in the center.

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Authors and Affiliations

  1. Fachbereich Mathematik-Informatik, Universität-Gesamthochschule Paderborn, Warburger Str.100, D-4790, Paderborn, Germany

    Eberhard Kaniuth & Keith F. Taylor

  2. Department of Mathematics, University of Saskatchewan, S7N OWO, Saskatoon, Saskatchewan, Canada

    Eberhard Kaniuth & Keith F. Taylor

Authors
  1. Eberhard Kaniuth
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  2. Keith F. Taylor
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Kaniuth, E., Taylor, K.F. Projections inC *-algebras of nilpotent groups. Manuscripta Math 65, 93–111 (1989). https://doi.org/10.1007/BF01168369

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  • DOI: https://doi.org/10.1007/BF01168369

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