On the classification of simple approximately subhomogeneous C*-algebras not necessarily of real rank zero

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/69425A classification is given of certain separable nuclear C*-algebras not necessarily of real rank zero, namely the class of simple C*-algebras which are inductive limits of continuous-trace C*-algebras whose building blocks have their spectrum homeomorphic to the interval [0,1] or to a finite disjoint union of closed intervals. In particular, a classification of those stably AI algebras which are inductive limits of hereditary sub-C*-algebras of interval algebras is obtained. Also, the range of the invariant is calculated.37 pages, 1 figureOperator Algebras46L05On the classification of simple approximately subhomogeneous C*-algebras not necessarily of real rank zerotext