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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
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