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Elementary amenable groups are quasidiagonal

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Abstract

We show that the group C*-algebra of any elementary amenable group is quasidiagonal. This is an offspring of recent progress in the classification theory of nuclear C*-algebras.

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Authors and Affiliations

  1. RIMS, Kyoto University, Sakyo-ku, Kyoto, 606-8502, Japan

    Narutaka Ozawa

  2. Department of Mathematical Sciences, University of Copenhagen, Universitetsparken 5, 2100, Copenhagen, Denmark

    Mikael Rørdam

  3. Graduate School of Science, Kyoto University, Sakyo-ku, Kyoto, 606-8502, Japan

    Yasuhiko Sato

Authors
  1. Narutaka Ozawa
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  2. Mikael Rørdam
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  3. Yasuhiko Sato
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Corresponding author

Correspondence to Yasuhiko Sato.

Additional information

N. Ozawa was supported by JSPS KAKENHI Grant Number 26400114. M. Rørdam was supported by the Danish National Research Foundation (DNRF) through the Centre for Symmetry and Deformation at University of Copenhagen, and The Danish Council for Independent Research, Natural Sciences. Y. Sato was supported by JSPS (the Grant-in-Aid for Research Activity Start-up 25887031) and Department of Mathematical Sciences in University of Copenhagen.

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Ozawa, N., Rørdam, M. & Sato, Y. Elementary amenable groups are quasidiagonal. Geom. Funct. Anal. 25, 307–316 (2015). https://doi.org/10.1007/s00039-015-0315-x

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  • DOI: https://doi.org/10.1007/s00039-015-0315-x

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