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The Ideal Property and Traces
Author(s) -
Pasnicu Cornel
Publication year - 2001
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/1522-2616(200107)227:1<127::aid-mana127>3.0.co;2-x
Subject(s) - mathematics , property (philosophy) , ideal (ethics) , pure mathematics , epistemology , philosophy
We prove a characterization of the ideal property for a large class of C *–algebras in terms of vanishing conditions for the finite traces on the algebra. An application of this result to a class of inductive limit C *–algebras (GAH algebras) is also given.