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

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152339It 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, LatexFunctional AnalysisOperator AlgebrasOn the Banach space isomorphism type of AF C*-algebras and their triangular subalgebrastext