1 edition of **K-theory and noncommutative geometry** found in the catalog.

- 79 Want to read
- 27 Currently reading

Published
**2008**
by European Mathematical Society in Zürich, Switzerland
.

Written in English

- Noncommutative differential geometry,
- Nichtkommutative Geometrie,
- Congresses,
- K-Theorie,
- Kongress,
- K-theory

**Edition Notes**

Includes bibliographical references.

Statement | Guillermo Cortiñas ... [et al.], editors |

Series | EMS series of congress reports |

Contributions | Cortiñas, Guillermo |

Classifications | |
---|---|

LC Classifications | QA612.33 .I34 2006 |

The Physical Object | |

Pagination | xiv, 440 p. |

Number of Pages | 440 |

ID Numbers | |

Open Library | OL27067879M |

ISBN 10 | 3037190604 |

ISBN 10 | 9783037190609 |

OCLC/WorldCa | 301483752 |

His research interests include noncommutative geometry, K-theory of operator algebras, index theory, topology and analysis of manifolds, geometric group theory. Prof. Yu serves on the editorial board of the Journal of Topology and Analysis, Journal of Noncommutative Geometry, Annals of K-Theory, and the Kyoto Journal of Mathematics. When the index bundle of a longitudinal Dirac type operator is transversely smooth, we define its Chern character in Haefliger cohomology and relate it to the Chern character of the K —theory index. This result gives a concrete connection between the topology of the .

Alain Connes, Matilde Marcolli, Noncommutative Geometry, Quantum Fields and Motives. and also very briefly in. A relation between motivic cohomology and bivariant algebraic K-theory is discussed in. Guillermo Cortiñas, Andreas Thom, Bivariant algebraic K-theory. J. Reine Angew. Math. (), 71– (arXiv:math/). Noncommutative Geometry and Physics 3: Proceedings of the Noncommutative Geometry and Physics , on K-Theory and D-Branes & Proceedings of the RIMS Thematic Year on Perspectives in Deformation Quantization and Noncommutative Geomet. | Dito, Giuseppe; Kotani, Motoko; Maeda, Yoshiaki | download | B–OK. Download books for free. Find books.

elements of a noncommutative algebra of Hilbert space operators. Another is a long series of results, dating back to Hermann Weyl’s asymptotic formula, connecting geometry to the spectral theory of the Laplace operator and other operators. A third comes from the application of operator algebra K-theory . "Basic Noncommutative Geometry provides an introduction to noncommutative geometry and some of its applications. The book can be used either as a textbook for a graduate course on the subject or for self-study. It will be useful for graduate students and researchers in mathematics and theoretical physics and all those who are interested in gaining an understanding of the subject.

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K-theory and noncommutative geometry book and K-theory (Chapter II) 14 3. Cyclic cohomology (Chapter III) 19 4. The quantized calculus (Chapter IV) 25 5.

The metric aspect of noncommutative geometry 34 Chapter 1. Noncommutative Spaces and Measure Theory 39 1.

Heisenberg and the Noncommutative Algebra of. K-theory and noncommutative geometry By Cortinas G., et al. (eds.) | Pages | ISBN: | PDF | 3 MB Since its inception 50 years ago, K-theory has been a tool for understanding a wide-ranging family of mathematical structures and their invariants: topological spaces, rings, algebraic varieties and operator algebras are the.

Thus K-theory is notable for its connections with other branches of mathematics. Noncommutative geometry develops tools which allow one to think of noncommutative algebras in the same footing as commutative ones: as algebras of functions on (noncommutative) spaces.

Product of the Continuum by the Discrete and the Symmetry Breaking Mechanism. The Notion of Manifold in Noncommutative Geometry. The Standard U (1) x SU (2) x SU (3) Model. Bibliography. Notation and Conventions. TS (Chapter Headings): Noncommutative Spaces and Measure Theory.

Topology and K-Theory. Cyclic Cohomology and /5(8). Purchase Noncommutative Geometry - 1st Edition. Print Book & E-Book.

ISBNNoncommutative Geometry: Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September(Lecture Notes in Mathematics) Topological and Bivariant K-Theory (Oberwolfach Seminars Book 36) by Joachim Cuntz, Jonathan M.

Rosenberg, et al. 5 K-Theory and Noncommutative Geometry (EMS Series of Congress Reports. Noncommutative geometry (NCG) is a branch of mathematics concerned with a geometric approach to noncommutative algebras, and with the construction of spaces that are locally presented by noncommutative algebras of functions (possibly in some generalized sense).

A noncommutative algebra is an associative algebra in which the multiplication is not commutative, that is, for which does. The book aims to give a complete account of the Atiyah-Singer index theorem, and at the same time introduce a number of important concepts of noncommutative geometry, including groupoid algebras, K-theory for foliations, asymptotic morphisms and assembly maps.

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The seminar will be held on Wednesday at 6 p.m. (UTC), which is the following time. I want to try to understand non commutative geometry by reading Connes's I am discovering it is a hard book to read:) as I miss a lot of background specially in operator algebra and homology theory (my field is nonlinear PDE so I know a bit of functional analysis already- at least the one used in my field).

topological K-theory for Banach and C*-algebras, K-homology and KK-theory. 4 Geometry and Topology What has come to be known as noncommutative geometry is on closer inspec-tion really a mixture of rather independent areas which share the notion of a noncommutative space at their core.

Thus within noncommutative geometry. This is the first and so far the only book featuring a consistent application of methods of noncommutative geometry to the index problem in the theory of nonlocal elliptic operators. Although the book provides important results, which are in a sense definitive, on the above-mentioned topic, it contains all the necessary preliminary material.

K-theory, noncommmutative geometry, and other branches of mathematics. An important connection between K-theory, topology, geometric group theory and noncommutative geometry is given by the isomorphism conjectures, such as those due to Baum–Connes, Bost–Connes and Farrell–Jones, which predict certain topological.

Download Bivariant K-theory of groupoids and the noncommutative book pdf free download link or read online here in PDF. Read online Bivariant K-theory of groupoids and the noncommutative book pdf free download link book now. All books are in clear copy here, and all files are secure so don't worry about it.

K-Theory and Noncommutative Geometry This book contains the proceedings of a satellite ICM meeting on K-theory and noncommutative geometry held in Valladolid, Spain, in During the meeting, there were four courses (three lectures each), given by J.

K-theory and noncommutative geometry. [Guillermo Cortiñas;] Home. WorldCat Home About WorldCat Help. Search. Search for Library Items Search for Lists Search for Book, Internet Resource: All Authors / Contributors: Guillermo Cortiñas. Find more information about: ISBN: OCLC Number.

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.

In recent years, number theory and arithmetic geometry have been enriched by new techniques from noncommutative geometry, operator algebras, dynamical systems, and K-Theory. The last two chapters deal with homological tools: cyclic cohomology and Connes–Chern characters in K-theory and K-homology, culminating in one commutative diagram expressing the equality of topological and analytic index in a noncommutative setting.

Applications to integrality of noncommutative topological invariants are given as well. The book starts with a detailed description of some of the most pertinent algebra-geometry correspondences by casting geometric notions in algebraic terms, then proceeds in the second chapter to the idea of a noncommutative space and how it is constructed.

Hello, Sign in. Account & Lists Returns & Orders. Try Prime Cart.Algebraic tools such as K-theory and cyclic cohomology and homology play an important role in this field. It is an important topic both for mathematics and physics. Sample Chapter(s) Chapter 1: The Local Index Formula in Noncommutative Geometry Revisited ( KB) Contents: K-Theory and D-Branes, Shonan.(AH1] and Functional Analysis [Connes].

Among many successes of K-theory, one should mention the solution of classical topological problems ([K] chapter V), the Atiyah-Singer index theorem [AS], its wide generalization to the new subject called “Noncommutative geometry” [Connes] and many algebraic applications [MS] [Sr].