Classification of inductive limits of continuous trace C*-algebras

Language: English

Published by LAP LAMBERT Academic Publishing Jun 2009, 2009

3838303253 / 9783838303253

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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.

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Title
Classification of inductive limits of continuous trace C*-algebras
Author
Cristian Ivanescu
Publisher
LAP LAMBERT Academic Publishing Jun 2009
Publication year
2009
Condition
Neu
Binding
Taschenbuch
Language
English
ISBN 10
3838303253
ISBN 13
9783838303253
Item weight
149 grams
Dimensions
220x150x6 mm

buchversandmimpf2000

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