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Topological and Bivariant K-Theory
Cuntz, Joachim J. R.; Meyer, Ralf; Rosenberg, Jonathan M.
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Description for Topological and Bivariant K-Theory
Paperback. This book describes a bivariant K-theory for bornological algebras, which provides a vast generalization of topological K-theory. In addition, it details other approaches to bivariant K-theories for operator algebras. Series: Oberwolfach Seminars. Num Pages: 262 pages, biography. BIC Classification: PBPD. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 244 x 170 x 14. Weight in Grams: 490.
Topological K-theory is one of the most important invariants for noncommutative algebras. Bott periodicity, homotopy invariance, and various long exact sequences distinguish it from algebraic K-theory. This book describes a bivariant K-theory for bornological algebras, which provides a vast generalization of topological K-theory. In addition, it details other approaches to bivariant K-theories for operator algebras. The book studies a number of applications, including K-theory of crossed products, the Baum-Connes assembly map, twisted K-theory with some of its applications, and some variants of the Atiyah-Singer Index Theorem.
Topological K-theory is one of the most important invariants for noncommutative algebras. Bott periodicity, homotopy invariance, and various long exact sequences distinguish it from algebraic K-theory. This book describes a bivariant K-theory for bornological algebras, which provides a vast generalization of topological K-theory. In addition, it details other approaches to bivariant K-theories for operator algebras. The book studies a number of applications, including K-theory of crossed products, the Baum-Connes assembly map, twisted K-theory with some of its applications, and some variants of the Atiyah-Singer Index Theorem.
Product Details
Format
Paperback
Publication date
2007
Publisher
Birkhauser Verlag AG Switzerland
Number of pages
262
Condition
New
Series
Oberwolfach Seminars
Number of Pages
262
Place of Publication
Basel, Switzerland
ISBN
9783764383985
SKU
V9783764383985
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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