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Index Theory and Operator Algebras: Proceedings of a Cbms Regional Conference Held August 6-10, 1991 With Support from the National Science Foundati (Contemporary Mathematics)
by Jeffrey Fox
Binding: Paperback, 190 pages
Publisher: American Mathematical Society
List Price: USD $47.00
Weight: 84
Dimension: H: 0.47 x L: 9.84 x W: 7.01 inches
ISBN 10: 0821851527
ISBN 13: 9780821851524
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Book Description:
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.

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