Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Ideals of multiplier algebras of simple AF $ C\sp *$-algebras

Author: Hua Xin Lin
Journal: Proc. Amer. Math. Soc. 104 (1988), 239-244
MSC: Primary 46L05; Secondary 46M10
MathSciNet review: 958075
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: It is shown that the $ {C^ * }$-algebra $ M(A)/A$, where $ A$ is a nonunital separable simple AF $ {C^ * }$-algebra and $ M(A)$ is the multiplier algebra of $ A$, is simple if and only if $ A$ has a continuous scale or $ A$ is elementary. Some results concerning the ideal structure of $ M(A)/A$ are also obtained in the case that it is nontrivial.

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

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 46L05, 46M10

Retrieve articles in all journals with MSC: 46L05, 46M10

Additional Information

PII: S 0002-9939(1988)0958075-1
Keywords: Simple AF $ {C^ * }$-algebra, ideal, multipliers
Article copyright: © Copyright 1988 American Mathematical Society