The Linear Span of Projections in AH Algebras and for Inclusions of C*-Algebras

In the first part of this paper, we show that an AH algebra A=lim→(Ai,ϕi) has the LP property if and only if every element of the centre of Ai belongs to the closure of the linear span of projections in A. As a consequence, a diagonal AH-algebra has the LP property if it has small eigenvalue variati...

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Bibliographic Details
Main Authors: Dinh Trung Hoa, Toan Minh Ho, Hiroyuki Osaka
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/204319

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