eBook ISBN: | 978-0-8218-7739-5 |
Product Code: | CONM/148.E |
List Price: | $125.00 |
MAA Member Price: | $112.50 |
AMS Member Price: | $100.00 |
eBook ISBN: | 978-0-8218-7739-5 |
Product Code: | CONM/148.E |
List Price: | $125.00 |
MAA Member Price: | $112.50 |
AMS Member Price: | $100.00 |
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Book DetailsContemporary MathematicsVolume: 148; 1993; 190 ppMSC: Primary 58; 46; 19
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.
ReadershipGraduate students and researchers in index theory.
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Table of Contents
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Articles
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Paul Baum, Nigel Higson and Roger Plymen — Equivariant homology for ${\rm SL}(2)$ of a $p$-adic field [ MR 1228497 ]
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Ezra Getzler — Cyclic homology and the Atiyah-Patodi-Singer index theorem [ MR 1228498 ]
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Erik Guentner — $K$-homology and the index theorem [ MR 1228499 ]
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Nigel Higson — On the $K$-theory proof of the index theorem [ MR 1228500 ]
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Steven Hurder — Topology of covers and the spectral theory of geometric operators [ MR 1228501 ]
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Ronghui Ji — Some applications of cyclic cohomology to the study of group $C^\ast $-algebras [ MR 1228502 ]
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Palle E. T. Jorgensen — Spectral theory for selfadjoint operator extensions associated with Clifford algebras [ MR 1228503 ]
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Dan Kucerovsky — Averaging operators and open manifolds [ MR 1228504 ]
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Shuang Zhang — $K$-theory and a bivariable Fredholm index [ MR 1228505 ]
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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.
Graduate students and researchers in index theory.
-
Articles
-
Paul Baum, Nigel Higson and Roger Plymen — Equivariant homology for ${\rm SL}(2)$ of a $p$-adic field [ MR 1228497 ]
-
Ezra Getzler — Cyclic homology and the Atiyah-Patodi-Singer index theorem [ MR 1228498 ]
-
Erik Guentner — $K$-homology and the index theorem [ MR 1228499 ]
-
Nigel Higson — On the $K$-theory proof of the index theorem [ MR 1228500 ]
-
Steven Hurder — Topology of covers and the spectral theory of geometric operators [ MR 1228501 ]
-
Ronghui Ji — Some applications of cyclic cohomology to the study of group $C^\ast $-algebras [ MR 1228502 ]
-
Palle E. T. Jorgensen — Spectral theory for selfadjoint operator extensions associated with Clifford algebras [ MR 1228503 ]
-
Dan Kucerovsky — Averaging operators and open manifolds [ MR 1228504 ]
-
Shuang Zhang — $K$-theory and a bivariable Fredholm index [ MR 1228505 ]