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Topological and Bivariant K-Theory
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 a...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Basel :
Birkhäuser Basel : Imprint: Birkhäuser,
2007.
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| Edición: | 1st ed. 2007. |
| Colección: | Oberwolfach Seminars,
36 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-7643-8399-2 | ||
| 003 | DE-He213 | ||
| 005 | 20220113081651.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2007 sz | s |||| 0|eng d | ||
| 020 | |a 9783764383992 |9 978-3-7643-8399-2 | ||
| 024 | 7 | |a 10.1007/978-3-7643-8399-2 |2 doi | |
| 050 | 4 | |a QA612.33 | |
| 072 | 7 | |a PBPD |2 bicssc | |
| 072 | 7 | |a MAT002010 |2 bisacsh | |
| 072 | 7 | |a PBPD |2 thema | |
| 082 | 0 | 4 | |a 512.66 |2 23 |
| 100 | 1 | |a Cuntz, Joachim. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Topological and Bivariant K-Theory |h [electronic resource] / |c by Joachim Cuntz, Jonathan M. Rosenberg. |
| 250 | |a 1st ed. 2007. | ||
| 264 | 1 | |a Basel : |b Birkhäuser Basel : |b Imprint: Birkhäuser, |c 2007. | |
| 300 | |a XII, 262 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Oberwolfach Seminars, |x 2296-5041 ; |v 36 | |
| 505 | 0 | |a 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. | |
| 520 | |a 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. | ||
| 650 | 0 | |a K-theory. | |
| 650 | 0 | |a Topology. | |
| 650 | 1 | 4 | |a K-Theory. |
| 650 | 2 | 4 | |a Topology. |
| 700 | 1 | |a Rosenberg, Jonathan M. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783764392024 |
| 776 | 0 | 8 | |i Printed edition: |z 9783764383985 |
| 830 | 0 | |a Oberwolfach Seminars, |x 2296-5041 ; |v 36 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-7643-8399-2 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||