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Index Theory and Operator Algebras Book PDF Summary

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.

Detail Book of Index Theory and Operator Algebras PDF

Index Theory and Operator Algebras
  • Author : Jeffrey Stephen Fox
  • Release : 21 September 1993
  • Publisher : American Mathematical Soc.
  • ISBN : 9780821851524
  • Genre : Mathematics
  • Total Page : 202 pages
  • Language : English
  • PDF File Size : 14,8 Mb

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