Classification of inductive limits of continuous trace C*-algebras : Classification of inductive limits of continuous trace C\*-algebras - the case of simple separable C\*-algebras
Language: English
Published by LAP LAMBERT Academic Publishing, 2009
- Softcover
- New
Seller: AHA-BUCH GmbH, Einbeck, GermanyAHA-BUCH GmbH
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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.…
Seller Inventory # 9783838303253
- Title
- Classification of inductive limits of continuous trace C*-algebras : Classification of inductive limits of continuous trace C\*-algebras - the case of simple separable C\*-algebras
- Author
- Cristian Ivanescu
- Publisher
- LAP LAMBERT Academic Publishing
- Publication year
- 2009
- Condition
- Neu
- Binding
- Taschenbuch
- Language
- English
- ISBN 10
- 3838303253
- ISBN 13
- 9783838303253
- Item weight
- 149 grams
- Dimensions
- 220x150x6 mm
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