Description

Book Synopsis
Examines some recent developments in the theory of $C^*$-algebras, which are algebras of operators on Hilbert spaces. An elementary introduction to the technical part of the theory is given via a basic homotopy lemma concerning a pair of almost commuting unitaries.

Table of Contents
  • An overview of the Elliott program
  • An introduction to the Basic Homotopy Lemma
  • Maps to finite dimensional $C^*$-algebras
  • Stable homotopy lemmas
  • The Basic Homotopy Lemma, finite dimensional cases
  • $C^*$-algebras of generalized tracial rank one
  • More Basic Homotopy Lemmas
  • Asymptotic unitary equivalence
  • Classification of simple $C^*$-algebras of finite rank
  • Bibliography
  • Index

    From the Basic Homotopy Lemma to the

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      A Paperback by Huaxin Lin

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        Publisher: MP-AMM American Mathematical
        Publication Date: 10/30/2017 12:00:00 AM
        ISBN13: 9781470434908, 978-1470434908
        ISBN10: 1470434903

        Description

        Book Synopsis
        Examines some recent developments in the theory of $C^*$-algebras, which are algebras of operators on Hilbert spaces. An elementary introduction to the technical part of the theory is given via a basic homotopy lemma concerning a pair of almost commuting unitaries.

        Table of Contents
        • An overview of the Elliott program
        • An introduction to the Basic Homotopy Lemma
        • Maps to finite dimensional $C^*$-algebras
        • Stable homotopy lemmas
        • The Basic Homotopy Lemma, finite dimensional cases
        • $C^*$-algebras of generalized tracial rank one
        • More Basic Homotopy Lemmas
        • Asymptotic unitary equivalence
        • Classification of simple $C^*$-algebras of finite rank
        • Bibliography
        • Index

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