Remote Access Transactions of the American Mathematical Society
Green Open Access

Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

AF algebras with directed sets of finite-dimensional $ \sp{\ast} $-subalgebras


Author: Aldo J. Lazar
Journal: Trans. Amer. Math. Soc. 275 (1983), 709-721
MSC: Primary 46L35; Secondary 46L45
DOI: https://doi.org/10.1090/S0002-9947-1983-0682726-2
MathSciNet review: 682726
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We characterize the unital $ AF$ algebras whose families of finite dimensional $ ^{\ast}$-subalgebras are directed by inclusion. A representation theorem for the algebras of this class allows us to classify them up to $ ^{\ast} $-isomorphisms.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 46L35, 46L45

Retrieve articles in all journals with MSC: 46L35, 46L45


Additional Information

DOI: https://doi.org/10.1090/S0002-9947-1983-0682726-2
Article copyright: © Copyright 1983 American Mathematical Society