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Some Calkin algebras have outer automorphisms

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Abstract

We consider various quotients of the C*-algebra of bounded operators on a nonseparable Hilbert space, and prove in some cases that, assuming some restriction of the Generalized Continuum Hypothesis, there are many outer automorphisms.

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Authors and Affiliations

  1. Department of Mathematics and Statistics, York University, 4700 Keele Street, North York, ON, M3J 1P3, Canada

    Ilijas Farah

  2. Matematicki Institut, Kneza Mihaila 34, Belgrade, Serbia

    Ilijas Farah

  3. Department of Mathematical Sciences, Carnegie Mellon University, 5000 Forbes Avenue, Pittsburgh, PA, 15213, USA

    Paul McKenney & Ernest Schimmerling

Authors
  1. Ilijas Farah
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  2. Paul McKenney
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  3. Ernest Schimmerling
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Corresponding author

Correspondence to Paul McKenney.

Additional information

This work was initiated at the Mittag-Leffler Institute during the authors’ visit in September, 2009. The first author was partially supported by NSERC.

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Farah, I., McKenney, P. & Schimmerling, E. Some Calkin algebras have outer automorphisms. Arch. Math. Logic 52, 517–524 (2013). https://doi.org/10.1007/s00153-013-0329-8

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  • DOI: https://doi.org/10.1007/s00153-013-0329-8

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