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Download e-book for iPad: An introduction to the classification of amenable by Lin H.

By Lin H.

ISBN-10: 9810246803

ISBN-13: 9789810246808

The speculation and purposes of C*-algebras are concerning fields starting from operator idea, workforce representations and quantum mechanics, to non-commutative geometry and dynamical structures. by means of Gelfand transformation, the speculation of C*-algebras is usually considered as non-commutative topology. a few decade in the past, George A. Elliott initiated this system of type of C*-algebras (up to isomorphism) via their K-theoretical info. It all started with the class of AT-algebras with actual rank 0. considering the fact that then nice efforts were made to categorise amenable C*-algebras, a category of C*-algebras that arises such a lot obviously. for instance, a wide classification of easy amenable C*-algebras is came upon to be classifiable. the appliance of those effects to dynamical platforms has been confirmed. This ebook introduces the new improvement of the speculation of the type of amenable C*-algebras - the 1st such try. the 1st 3 chapters current the fundamentals of the speculation of C*-algebras that are relatively very important to the speculation of the class of amenable C*-algebras. bankruptcy four bargains the type of the so-called AT-algebras of actual rank 0. the 1st 4 chapters are self-contained, and will function a textual content for a graduate path on C*-algebras. The final chapters comprise extra complex fabric. particularly, they care for the category theorem for easy AH-algebras with actual rank 0, the paintings of Elliott and Gong. The booklet comprises many new proofs and a few unique effects with regards to the category of amenable C*-algebras. in addition to delivering an creation to the idea of the category of amenable C*-algebras, it's a entire reference for these extra conversant in the topic.

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An introduction to the classification of amenable C-star-algebras by Lin H.

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