Daniel G. Quillen, Gordon Blower

Topics in Cyclic Theory (eBook, PDF)

• Format: PDF

Produktbeschreibung

This accessible introduction for Ph.D. students and non-specialists provides Quillen''s unique development of cyclic theory.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 9. Juli 2020
• Englisch
• ISBN-13: 9781108847612
• Artikelnr.: 70910819

Autorenporträt

Daniel G. Quillen proved Adam's conjecture in topological K-theory, and Serre's conjecture that all projective modules over a polynomial ring are free. He was awarded the Cole Prize in Algebra and the Fields Medal in 1978. He was Waynflete Professor of Pure Mathematics at the University of Oxford, where he lectured on K-theory and cyclic homology.

Inhaltsangabe

Introduction
1. Background results
2. Cyclic cocycles and basic operators
3. Algebras of operators
4. GNS algebra
5. Geometrical examples
6. The algebra of noncommutative differential forms
7. Hodge decomposition and the Karoubi operator
8. Connections
9. Cocycles for a commutative algebra over a manifold
10. Cyclic cochains
11. Cyclic cohomology
12. Periodic cyclic homology
References
List of symbols
Index of notation
Subject index.