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DISPONIBILITÀ IMMEDIATA
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Libro
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- Genere: Libro
- Lingua: Inglese
- Editore: Birkhäuser
- Edizione: 2007
Topological and Bivariant K-Theory
cuntz joachim; rosenberg jonathan m.
40,98 €
38,93 €
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TRAMA
Topological K-theory is one of the most important invariants for noncommutative algebras equipped with a suitable topology or bornology. Bott periodicity, homotopy invariance, and various long exact sequences distinguish it from algebraic K-theory. We describe a bivariant K-theory for bornological algebras, which provides a vast generalization of topological K-theory. In addition, we discuss other approaches to bivariant K-theories for operator algebras. As applications, we study 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.SOMMARIO
The elementary algebra of K-theory.- Functional calculus and topological K-theory.- Homotopy invariance of stabilised algebraic K-theory.- Bott periodicity.- The K-theory of crossed products.- Towards bivariant K-theory: how to classify extensions.- Bivariant K-theory for bornological algebras.- A survey of bivariant K-theories.- Algebras of continuous trace, twisted K-theory.- Crossed products by ? and Connes’ Thom Isomorphism.- Applications to physics.- Some connections with index theory.- Localisation of triangulated categories.ALTRE INFORMAZIONI
- Condizione: Nuovo
- ISBN: 9783764383985
- Collana: Oberwolfach Seminars
- Dimensioni: 242 x 170 mm
- Formato: Brossura
- Illustration Notes: XII, 262 p.
- Pagine Arabe: 262
- Pagine Romane: xii