TY - BOOK AU - Loomis,Lynn H. TI - The lattice theoretic background of the dimension theory of operator algebras T2 - Memoirs of the American Mathematical Society, SN - 9780821899595 (online) AV - QA3 .A57 no. 18 PY - 1955/// CY - Providence, R.I. PB - American Mathematical Society KW - Operator algebras KW - Dimension theory (Algebra) KW - Lattice theory KW - Operator theory N1 - Includes bibliographical references; 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; Access is restricted to licensed institutions; Electronic reproduction; Providence, Rhode Island; American Mathematical Society; 2012 UR - http://www.ams.org/memo/0018 UR - http://dx.doi.org/10.1090/memo/0018 ER -