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) - Boulder 1991, Proceedings of a Cbms Regional Conference on K-Homology and Index Theory, August 6-10, 1991, with Support from the National Science Foundation - Jeffrey Fox, Jeffrey Stephen Fox, Fox, Jeffrey Stephen, Haskell, Peter (1993) |
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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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"Proceedings of a CBMS Regional Conference on K-Homology and Index Theory held August 6-10, 1991 in Boulder, Colorado"--Cover. |