Index Theory and Operator Algebras
Author:   Jeffrey S. Fox ,  Peter E. Haskell
Publisher:   American Mathematical Society
Volume:   No. 148
ISBN:  

9780821851524


Pages:   190
Publication Date:   01 January 1993
Format:   Paperback
Availability:   In Print   Availability explained
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Index Theory and Operator Algebras


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Overview

This collection of papers by leading researchers provides a broad picture of current research directions in index theory. Based on lectures presented at the NSF-CBMS Regional Conference on $K$-Homology and Index Theory, held in August, 1991 at the University of Colorado at Boulder, the book provides both a careful exposition of new perspectives in classical index theory and an introduction to currently active areas of the field. Presented here are two new proofs of the classical Atiyah-Singer Index Theorem, as well as index theorems for manifolds with boundary and open manifolds. Index theory for semi-simple $p$-adic groups and the geometry of discrete groups are also discussed. Throughout the book, the application of operator algebras emerges as a central theme. Aimed at graduate students and researchers, this book is suitable as a text for an advanced graduate course on index theory.

Full Product Details

Author:   Jeffrey S. Fox ,  Peter E. Haskell
Publisher:   American Mathematical Society
Imprint:   American Mathematical Society
Volume:   No. 148
Weight:   0.356kg
ISBN:  

9780821851524


ISBN 10:   0821851527
Pages:   190
Publication Date:   01 January 1993
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

Equivariant homology for $SL(2)$ of a $p$-adic field by P. Baum, N. Higson, and R. Plymen Cyclic homology and the Atiyah-Patodi-Singer index theorem by E. Getzler $K$-Homology and the index theorem by E. Guentner On the $K$-theory proof of the index theorem by N. Higson Topology of covers and the spectral theory of geometric operators by S. Hurder Some applications of cyclic cohomology to the study of group $C^\ast$-algebras by R. Ji Spectral theory for self-adjoint operator extensions associated with Clifford algebras by P. Jorgensen Averaging operators and open manifolds by D. Kucerovsky $K$-theory and a bivariable Fredholm index by S. Zhang.

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