Skip to Main Content


AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution


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

PDF View full volume as PDF

View other years and numbers:

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