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The lattice theoretic background of the dimension theory of operator algebras
About this Title
L. H. Loomis
Publication: Memoirs of the American Mathematical Society
Publication Year:
1955; Number 18
ISBNs: 978-0-8218-1218-1 (print); 978-0-8218-9959-5 (online)
DOI: https://doi.org/10.1090/memo/0018
MathSciNet review: 0073960
Table of Contents
Chapters
- 1. Introduction
- 2. The axioms
- 3. Some elementary lemmas
- 4. Factors
- 5. The general theory
- 6. Type I
- 7. Type II
- 8. Axiom $D’$
- 9. Operator algebras and abstract *-algebras
- 10. The representations of a group
- 11. Boolean algebras