Classification Inductive Limits Continuous by Ivanescu Cristian (3 results)

Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -A classification is given of certain separablenuclear C -algebras not necessarily of real rankzero, namely, the class of simple C -algebras whichare inductive limits of continuous trace C -algebraswhose building blocks have spectrum homeomorphic tothe closed interval [0,1]. In particular, aclassification of simple stably AI algebras isobtained. Also, the range of the invariant is calculated. We start by approximating the building blocksappearing in a given inductive limit decomposition bycertain special building blocks. The special buildingblocks are continuous trace C -algebras with finitedimensional irreducible representations and such thatthe dimension of the representations, as a functionon the interval, is a finite (lower semicontinuous)step function. It is then proved that theseC -algebras have finite presentations and stablerelations. The advantage of having inductive limitsof special subhomogeneous algebras is that we canprove the existence of certain gaps for the inducedmaps between the affine function spaces. These gapsare necessary to prove the Existence Theorem. Alsothe Uniqueness theorem is proved for these specialbuilding blocks. 88 pp. Englisch.

Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -A 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 spectrum homeomorphic to the closed interval [0,1]. In particular, a classification of simple stably AI algebras is obtained. Also, the range of the invariant is calculated. We start by approximating the building blocks appearing in a given inductive limit decomposition by certain special building blocks. The special building blocks are continuous trace C\*-algebras with finite dimensional irreducible representations and such that the dimension of the representations, as a function on the interval, is a finite (lower semicontinuous) step function. It is then proved that these C\*-algebras have finite presentations and stable relations. The advantage of having inductive limits of special subhomogeneous algebras is that we can prove the existence of certain gaps for the induced maps between the affine function spaces. These gaps are necessary to prove the Existence Theorem. Also the Uniqueness theorem is proved for these special building blocks.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 88 pp. Englisch.

Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - A classification is given of certain separablenuclear C -algebras not necessarily of real rankzero, namely, the class of simple C -algebras whichare inductive limits of continuous trace C -algebraswhose building blocks have spectrum homeomorphic tothe closed interval [0,1]. In particular, aclassification of simple stably AI algebras isobtained. Also, the range of the invariant is calculated. We start by approximating the building blocksappearing in a given inductive limit decomposition bycertain special building blocks. The special buildingblocks are continuous trace C -algebras with finitedimensional irreducible representations and such thatthe dimension of the representations, as a functionon the interval, is a finite (lower semicontinuous)step function. It is then proved that theseC -algebras have finite presentations and stablerelations. The advantage of having inductive limitsof special subhomogeneous algebras is that we canprove the existence of certain gaps for the inducedmaps between the affine function spaces. These gapsare necessary to prove the Existence Theorem. Alsothe Uniqueness theorem is proved for these specialbuilding blocks.