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Classification of ring and $C^{*}$-algebra direct limits of finite-dimensional semisimple real algebras

About this Title

K. R. Goodearl and D. E. Handelman

Publication: Memoirs of the American Mathematical Society
Publication Year: 1987; Volume 69, Number 372
ISBNs: 978-0-8218-2435-1 (print); 978-1-4704-0788-9 (online)
DOI: https://doi.org/10.1090/memo/0372
MathSciNet review: 904013
MSC: Primary 46L05; Secondary 16A30, 16A48, 16A54, 19K14, 46L35

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Table of Contents

Chapters

  • I. Background
  • II. Description of the invariant
  • III. Fullness of the invariant
  • IV. Faithfulness of the invariant (up to inner automorphisms)
  • V. Completeness of the invariant
  • VI. Properties of the invariant
  • VII. Applications
  • VIII. Form of the invariant
  • IX. Algebras of type $rh$
  • X. Algebras of type $c$
  • XI. Minimality of the invariant
  • XII. Non-unital $K_0$
  • XIII. Classification of non-unital direct limits
  • XIV. Real AF $C^*$-algebras
  • XV. Period two automorphisms of complex AF $C^*$-algebras
  • XVI. Remarks and problems