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

S. C. Power
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Abstract

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.

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S. C. Power. 1994-06-07. On the Banach space isomorphism type of AF C*-algebras and their triangular subalgebras. https://arxiv.org/abs/funct-an/9406003

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