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Envelopes, Completions and AW ∗-Algebras

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Monotone Complete C*-algebras and Generic Dynamics

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Abstract

An AW ∗-algebra is a (unital) C ∗-algebra where each maximal abelian ∗-subalgebra is monotone complete. We sketch a short introduction to AW ∗-algebras in Sects. 8.2 and 8.3. This does not depend on any results subsequent to Chap. 2 In Sect. 8.1 we give a brief account of injective envelopes of C ∗-algebras and regular completions of arbitrary C ∗-algebras.

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Authors and Affiliations

  1. Sendai, Japan

    Kazuyuki Saitô

  2. University of Aberdeen, Aberdeen, Scotland

    J. D. Maitland Wright

  3. Christ Church, University of Oxford, Oxford, UK

    J. D. Maitland Wright

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  1. Kazuyuki Saitô
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  2. J. D. Maitland Wright
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Saitô, K., Wright, J.D.M. (2015). Envelopes, Completions and AW ∗-Algebras. In: Monotone Complete C*-algebras and Generic Dynamics. Springer Monographs in Mathematics. Springer, London. https://doi.org/10.1007/978-1-4471-6775-4_8

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