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Extensions of Quasidiagonal C*-algebras and K-theory | | N.P. Brown
; M. Dadarlat
; | | Date: |
23 Aug 2000 | | Subject: | Operator Algebras | math.OA | | Abstract: | We study the extension problem for quasidiagonal (QD) C*-algebras (i.e. when is an extension of QD C*-algebras again QD?). The main positive result states that in many instances an extension will remain QD provided that a certain boundary arising from the K-theory of the extension vanishes. A K-theoretic Hahn-Banach type property is also introduced for QD C*-algebras. We show that every nuclear QD C*-algebra has this Hahn-Banach property if and only if the extension problem for many QD C*-algebras is completely determined by a boundary map on K-theory. | | Source: | arXiv, math.OA/0008182 | | Services: | Forum | Review | PDF | Favorites | |
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