Cyclic Homology in Non-Commutative Geometry
Springer Berlin (Verlag)
978-3-540-40469-9 (ISBN)
I. Cyclic Theory, Bivariant K-Theory and the Bivariant Chern-Connes Character by J. Cuntz: 1. Cyclic Theory; 2. Cyclic Theory for Locally Convex Algebras; 3. Bivariant K-Theory; 4. Infinite-Dimensional Cyclic Theories; A. Locally Convex Algebras; B. Standard Extensions.- II. Noncommutative Geometry, the Transverse Signature Operator, and Hopf Algebras (after A. Connes and H. Moscovici) by G. Skandalis: 1. Preliminaries; 2. The Local Index Formula; 3. The Diff-Invariant Signature Operator; 4. The 'Transverse' Hopf Algebra.- III. Cyclic Homology by B. Tsygan: 1. Introduction; 2. Hochschild and Cyclic Homology of Algebras; 3. The Cyclic Complex C^{lambda}_{bullet}; 4. Non-Commutative Differential Calculus; 5. Cyclic Objects; 6. Examples; 7. Index Theorems; 8. Riemann-Roch Theorem for D-Modules.
From the reviews:
"This volume of the 'Encyclopedia of Mathematical Sciences' is a very important and useful contribution to the literature on cyclic homology and noncommutative geometry. ... This book contains three expository articles, covering very important recent results." (Alexander Gorokhovsky, Mathematical Reviews, 2005 k)
Erscheint lt. Verlag | 17.11.2003 |
---|---|
Reihe/Serie | Encyclopaedia of Mathematical Sciences |
Zusatzinfo | XIII, 137 p. |
Verlagsort | Berlin |
Sprache | englisch |
Maße | 156 x 234 mm |
Gewicht | 360 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
Naturwissenschaften ► Physik / Astronomie | |
Schlagworte | Algebra • Algebraische Topologie • cyclic homology • Homology • K-theory • Non-Commutative Geometry • Operatoralgebra |
ISBN-10 | 3-540-40469-4 / 3540404694 |
ISBN-13 | 978-3-540-40469-9 / 9783540404699 |
Zustand | Neuware |
Haben Sie eine Frage zum Produkt? |
aus dem Bereich