Könyv Asymptotic Cyclic Cohomology Michael Puschnigg

Asymptotic Cyclic Cohomology

Nyelv: Angol
Kötés: Puha kötésű
Elérhetőség: Beszállítói készleten
Küldés 5-8 napon belül
17 814 Ft
The aim of cyclic cohomology theories is the approximation of K-theory by cohomology theories define...

Információk a könyvről

Nyelv
Angol
Kötés
Könyv - Puha kötésű
Kiadva
1996
oldal
244
EAN
9783540619864
ISBN
3540619860
Enbook ID
05274639
Súly
412
Méretek
156 x 234 x 14

Teljes leírás

The aim of cyclic cohomology theories is the approximation of K-theory by cohomology theories defined by natural chain complexes. The basic example is the approximation of topological K-theory by de Rham cohomology via the classical Chern character. A cyclic cohomology theory for operator algebras is developed in the book, based on Connes' work on noncommutative geometry. Asymptotic cyclic cohomology faithfully reflects the basic properties and features of operator K-theory. It thus becomes a natural target for a Chern character. The central result of the book is a general Grothendieck-Riemann-Roch theorem in noncommutative geometry with values in asymptotic cyclic homology. Besides this, the book contains numerous examples and calculations of asymptotic cyclic cohomology groups.

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