Jerome Kaminker's Books

Noncommutative Geometry

Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 3-9, 2000

By: Alain Connes,Joachim Cuntz,Erik G. Guentner,Nigel Higson,Jerome Kaminker,John E. Roberts

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Noncommutative Geometry

Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 3-9, 2000

By: Alain Connes,Joachim Cuntz,Erik G. Guentner,Nigel Higson,Jerome Kaminker,John E. Roberts

Noncommutative Geometry is one of the most deep and vital research subjects of present-day Mathematics. Its development, mainly due to Alain Connes, is providing an increasing number of applications and deeper insights for instance in Foliations, K-Theory, Index Theory, Number Theory but also in Quantum Physics of elementary particles. The purpose of the Summer School in Martina Franca was to offer a fresh invitation to the subject and closely related topics; the contributions in this volume include the four main lectures, cover advanced developments and are delivered by prominent specialists.

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364

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Springer

Published Date

ISBN 10

3540397027

ISBN 13

9783540397021

Index Theory of Elliptic Operators, Foliations, and Operator Algebras

Proceedings of AMS Special Sessions Held January 7, 1986 and April 11, 1986

By: Jerome Kaminker,Kenneth C. Millett,American Mathematical Society

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Index Theory of Elliptic Operators, Foliations, and Operator Algebras

Proceedings of AMS Special Sessions Held January 7, 1986 and April 11, 1986

By: Jerome Kaminker,Kenneth C. Millett,American Mathematical Society

Combining analysis, geometry, and topology, this volume provides an introduction to current ideas involving the application of $K$-theory of operator algebras to index theory and geometry. In particular, the articles follow two main themes: the use of operator algebras to reflect properties of geometric objects and the application of index theory in settings where the relevant elliptic operators are invertible modulo a $C^*$-algebra other than that of the compact operators. The papers in this collection are the proceedings of the special sessions held at two AMS meetings: the Annual meeting in New Orleans in January 1986, and the Central Section meeting in April 1986. Jonathan Rosenberg's exposition supplies the best available introduction to Kasparov's $KK$-theory and its applications to representation theory and geometry. A striking application of these ideas is found in Thierry Fack's paper, which provides a complete and detailed proof of the Novikov Conjecture for fundamental groups of manifolds of non-positive curvature. Some of the papers involve Connes' foliation algebra and its $K$-theory, while others examine $C^*$-algebras associated to groups and group actions on spaces.

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334

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821850776

ISBN 13

9780821850770

Geometric and Topological Invariants of Elliptic Operators

Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference Held July 23-29, 1988 with Support from the National Science Foundation and the U.S. Army Research Office

By: Jerome Kaminker,American Mathematical Society

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Geometric and Topological Invariants of Elliptic Operators

Proceedings of the AMS-IMS-SIAM Joint Summer Research Conference Held July 23-29, 1988 with Support from the National Science Foundation and the U.S. Army Research Office

By: Jerome Kaminker,American Mathematical Society

This volume contains the proceedings of the AMS-IMS-SIAM Summer Research Conference on ``Geometric and Topological Invariants of Elliptic Operators,'' held in August 1988 at Bowdoin College. Some of the themes covered at the conference and appearing in the articles are: the use of more sophisticated asymptotic methods to obtain index theorems, the study of the $\eta$ invariant and analytic torsion, and index theory on open manifolds and foliated manifolds. The current state of noncommutative differential geometry, as well as operator algebraic and $K$-theoretic methods, are also presented in several the articles. This book will be useful to researchers in index theory, operator algebras, foliations, and mathematical physics. Topologists and geometers are also likely to find useful the view the book provides of recent work in this area. In addition, because of the expository nature of several of the articles, it will be useful to graduate students interested in working in these areas.

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312

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American Mathematical Soc.

Published Date

ISBN 10

0821851128

ISBN 13

9780821851128

Index Theory of Elliptic Operators, Foliations, and Operator Algebras

Proceedings of AMS Special Sessions Held January 7, 1986 and April 11, 1986

By: Jerome Kaminker,Kenneth C. Millett,American Mathematical Society

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Index Theory of Elliptic Operators, Foliations, and Operator Algebras

Proceedings of AMS Special Sessions Held January 7, 1986 and April 11, 1986

By: Jerome Kaminker,Kenneth C. Millett,American Mathematical Society

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Page Count

334

Publisher

American Mathematical Soc.

Published Date

ISBN 10

0821850776

ISBN 13

9780821850770

Noncommutative Geometry

Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 3-9, 2000

By: Alain Connes,Joachim Cuntz,Erik G. Guentner,Nigel Higson,Jerome Kaminker,John E. Roberts

Write a review Read reviews Take a Quiz Solve Book Puzzle

Noncommutative Geometry

Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 3-9, 2000

By: Alain Connes,Joachim Cuntz,Erik G. Guentner,Nigel Higson,Jerome Kaminker,John E. Roberts

Average ratings

N/A

Write a review

Solve jigsaw puzzle

Age

Page Count

364

Publisher

Springer

Published Date

ISBN 10

3540397027

ISBN 13

9783540397021

Book's by Jerome Kaminker

Noncommutative Geometry

Noncommutative Geometry

Index Theory of Elliptic Operators, Foliations, and Operator Algebras

Index Theory of Elliptic Operators, Foliations, and Operator Algebras

Geometric and Topological Invariants of Elliptic Operators

Geometric and Topological Invariants of Elliptic Operators

Index Theory of Elliptic Operators, Foliations, and Operator Algebras

Index Theory of Elliptic Operators, Foliations, and Operator Algebras

Noncommutative Geometry

Noncommutative Geometry

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