On the Banach space isomorphism type of AF C*-algebras and their triangular subalgebras

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It is shown that all the approximately finite dimensional C*-algebras which are not of Type I are isomorphic as Banach spaces. This generalises the matroid case given previously by Arazy. Analogous results are obtained for various families of triangular subalgebras of AF C*-algebras. In addition the classification of various continua of Type I AF C*-algebras is discussed.
23 pages, Latex

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Functional Analysis, Operator Algebras

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http://salesiana.dossiersoluciones.com/handle/123456789/152339

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/funct-an/9406003
 http://arxiv.org/abs/funct-an/9406003

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arXiv