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Bücher Wissen & Bildung Englische Bücher Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Cyclic Homology in Non-Commutative Geometry
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Cyclic Homology in Non-Commutative Geometry
Joachim Cuntz, Georges Skandalis, Boris Tsygan (Broschiert, Englisch)
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Beschreibung
Cyclic homology was introduced in the early eighties independently by Connes and Tsygan. They came from different directions. Connes wanted to associate homological invariants to K-homology classes and to describe the index pair ing with K-theory in that way, while Tsygan was motivated by algebraic K-theory and Lie algebra cohomology. At the same time Karoubi had done work on characteristic… classes that led him to study related structures, without however arriving at cyclic homology properly speaking. Many of the principal properties of cyclic homology were already developed in the fundamental article of Connes and in the long paper by Feigin-Tsygan. In the sequel, cyclic homology was recognized quickly by many specialists as a new intriguing structure in homological algebra, with unusual features. In a first phase it was tried to treat this structure as well as possible within the traditional framework of homological algebra. The cyclic homology groups were computed in many examples and new important properties such as prod uct structures, excision for H-unital ideals, or connections with cyclic objects and simplicial topology, were established. An excellent account of the state of the theory after that phase is given in the book of Loday. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
23.01.2011
Sprache
Englisch
EAN
9783642073373
Herausgeber
Springer Berlin
Serien- oder Bandtitel
Encyclopaedia of Mathematical Sciences
Sonderedition
Nein
Autor
Joachim Cuntz, Georges Skandalis, Boris Tsygan
Seitenanzahl
137
Einbandart
Broschiert
Schlagwörter
K-theory, algebra, cyclic homology, homology, non-commutative geometry
Thema-Inhalt
PBKF - Funktionalanalysis und Abwandlungen
PHU - Mathematische Physik
PBPD - Algebraische Topologie
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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