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

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

1994-06-07

arxiv.org/abs/funct-an/9406003v1

Mathematics

Operator Algebras

23 pages, Latex

Scientific paper

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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