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Approximately Inner Derivations, Decompositions and Vector Fields of Simple C*-Algebras

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Mappings of Operator Algebras

Part of the book series: Progress in Mathematics ((PM,volume 84))

Abstract

Given a mathematical structure, one of the basic associated objects is its automorphism group. In differential geometry, manifolds are equipped with a differ-entiable structure and the objects of study are the diffeomorphism group and its subgroups. In quantum mechanics, the observables form a non-Abelian algebra. In some of the more accessible cases, this algebra is a simple C*-algebra, and the objects of study are the associated groups of automorphisms. These are the quantum mechanical symmetry groups.

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Authors
  1. Palle Jorgensen
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Editors and Affiliations

  1. Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan

    Huzihiro Araki

  2. Department of Mathematics, University of Pennsylvania, Philadelphia, Pennsylvania, USA

    Richard V. Kadison

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Jorgensen, P. (1991). Approximately Inner Derivations, Decompositions and Vector Fields of Simple C*-Algebras. In: Araki, H., Kadison, R.V. (eds) Mappings of Operator Algebras. Progress in Mathematics, vol 84. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-1-4612-0453-4_2

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