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Tuesday, May 19, 2020 | History

8 edition of Some applications of topological K-theory found in the catalog.

Some applications of topological K-theory

by N. Mahammed

  • 320 Want to read
  • 27 Currently reading

Published by North-Holland Pub. Co., sole distributors for the U.S.A. and Canada, Elsevier North-Holland in Amsterdam, New York, New York .
Written in English

    Subjects:
  • K-theory.

  • Edition Notes

    StatementN. Mahammed, R. Piccinini, U. Suter.
    SeriesNorth-Holland mathematics studies ;, 45, Notas de matemática ;, 74, Notas de matemática (Rio de Janeiro, Brazil) ;, no. 74.
    ContributionsPiccinini, Renzo A., 1933-, Suter, U., 1935-
    Classifications
    LC ClassificationsQA1 .N86 no. 74, QA612.33 .N86 no. 74
    The Physical Object
    Paginationix, 317 p. ;
    Number of Pages317
    ID Numbers
    Open LibraryOL4108382M
    ISBN 100444861130
    LC Control Number80023219

    In mathematics, K-theory is, roughly speaking, the study of a ring generated by vector bundles over a topological space or algebraic topology, it is a cohomology theory known as topological algebra and algebraic geometry, it is referred to as algebraic is also a fundamental tool in the field of operator can be seen as the study of certain kinds of.   In closing, then, K-Theory, An Introduction is a phenomenally attractive book: a fantastic introduction and then some. Only a master like Karoubi could have written the book, and it will continue to be responsible for many seductions of fledglings to the ranks of topological K-theorists as well as serve as a fundamental reference and source of.

    algebraic K-theory, algebraic L-theory and topological K-theory. In these chapters we present some applications and special more accessible cases of the Farrell-Jones and the Baum-Connes Conjecture. In the second part \The Isomorphism Conjectures", which consists of Chapters 9 to Chap we introduce the Farrell-Jones Conjecture andFile Size: 2MB. Topological K-theory is one of the most important invariants for noncommutative algebras equipped with a suitable topology or bornology. Bott periodicity, homotopy invariance, and various long exact sequences distinguish it from algebraic K-theory. We describe a bivariant K-theory for bornological.

    As applications, we study K-theory of crossed products, the Baum-Connes assembly map, twisted K-theory with some of its applications, and some variants of the Atiyah-Singer Index Theorem. Keywords Homotopy K-theory Thom isomorphism functional calculus topological invariants. The multiplicative structure of K-theory and the Adams operations are also discussed and the final chapter details the construction and computation of characteristic classes. With every important aspect of the topic covered, and exercises at the end of each chapter, this is the definitive book for a first course in topological by:


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Some applications of topological K-theory by N. Mahammed Download PDF EPUB FB2

Some Applications of Topological K-Theory COVID Update: We are currently shipping orders daily. However, due to transit disruptions in some geographies, deliveries may be delayed. To provide all customers with timely access to content, we are offering 50% off our Print & eBook bundle Edition: 1.

Some Applications of Topological K-Theory | N. Mahammed, R. Piccinini and U. Suter (Eds.) | download | B–OK. Download books for free. Find books. However, formatting rules can vary widely between applications and fields of interest or study.

The specific requirements or preferences of your reviewing publisher, classroom teacher, institution or organization should be applied. Topological K-theory has become an important tool in topology. Using K - theory, Adams and Atiyah were able to give a simple proof that the only spheres which can be provided with H -space structures are S1, S3 and S7.

Also, he gives the reader a taste of topological K-theory. Just as one studies linear transformations of vector spaces and their invariants in linear algebra, the study of automorphisms of free and projective modules is done in K-theory, particularly via the construction of the K1 by: Introduction To K theory and Some Applications.

This book explains the following topics: Topological K-theory, K-theory of C* algebras, Geometric and Topological Invarients, THE FUNCTORS K1 K2, K1, SK1 of Orders and Group-rings, Higher Algebraic K-theory, Higher Dimensional Class Groups of Orders and Group rings, Higher K-theory of Schemes, Mod-m Higher K-theory of exact.

Introduction To K theory and Some Applications. This book explains the following topics: Topological K-theory, K-theory of C* algebras, Geometric and Topological Invarients, THE FUNCTORS K1 K2, K1, SK1 of Orders and Group-rings, Higher Algebraic K-theory, Higher Dimensional Class Groups of Orders and Group rings, Higher K-theory of Schemes, Mod-m Higher K-theory of exact Categories, Schemes.

Lectures On K theory. This book covers the following topics: Topological K-Theory, Topological Preliminaries on Vector Bundles, Homotopy, Bott Periodicity and Cohomological Properties, Chern Character and Chern Classes, Analytic K-Theory, Applications of Adams operations, Higher Algebraic K-Theory, Algebraic Preliminaries and the the Grothendieck Group, The Whitehead and the Steinberg Groups.

Some Historical Remarks K-theory was so christened in by A. Grotherdieck who first studied K0(C) (then written K(C)) where for a scheme X, C is the category P(X) of locally free sheaves of e K0(C)classifies the isomorphism classes in C and he wanted the name of the theory to reflect ‘class’, he used the first letter ‘K’ in.

In I wrote out a brief outline, following Quillen's paper Higher algebraic K-theory I. It was overwhelming. I talked to Hy Bass, the author of the classic book Algebraic K-theory, about what would be involved in writing such a book.

It was scary, because (in ) I didn't know even how to write a book. An elementary introduction by Max Karoubi Some introductory books in Algebraic Topology: [Hatcher], [ES], [Hu].

Bott’s discovery that it has a central role in many applications. Topological K-theory (see next sections of the paper) would not have existed without this theorem. Some K-theory of C*-algebras books also mention a little topological K-theory as a background, you can see this book: Blackadar B.

K-theory for operator algebras[M]. Cambridge University Press, I am making some videos of K-theory(from topological to operator) in my language Chinese, if you can read Chinese or have some friend help to.

The book studies a number of applications, including K-theory of crossed products, the Baum-Connes assembly map, twisted K-theory with some of its applications, and some variants of the Atiyah-Singer Index Theorem.

It is this ''topological K-theory" that this book will study. Topological K -theory has become an important tool in topology. Using K - theory, Adams and Atiyah were able to give a simple proof that the only spheres which can be provided with H -space structures are S1, S3 and S7.

Genre/Form: Electronic books: Additional Physical Format: Print version: Mahammed, N., Some applications of topological K-theory. Amsterdam ; New York: North.

have made some use of these books in our notes): For topological K-Theory one has the clasic Harvard notes by M.F. Atiyah (see M.F. Atiyah: ”K-Theory”, Benjamin ) and a recent book by Efton Park: ”Complex Topological K-Theory”, Cambridge University Press There are also some online notes by A.

Hatcher from Cornell University. It is this ''topological K-theory" that this book will study. Topological K -theory has become an important tool in topology.

Using K - theory, Adams and Atiyah were able to give a simple proof that the only spheres which can be provided with H -space structures are S1, S3 and by: A 'read' is counted each time someone views a publication summary (such as the title, abstract, and list of authors), clicks on a figure, or views or downloads the : Victor Snaith.

The final chapter is about complete spaces and includes problems of general function theory which can be expressed in topological terms. The book includes two appendices, one on applications of topology to mathematical logics and another to functional analysis.

This monograph will be helpful to students and practitioners of algebra and mathematics. K-THEORY. An elementary introduction by Max Karoubi Conference at the Clay Mathematics Research Academy The purpose of these notes is to give a feeling of “K-theory”, a new interdisciplinary subject within Mathematics.

This theory was invented by Alexander Grothendieck1 [BS] in the 50’s in order to solve some difficult problems in. Some applications of topological K-theory. Borrow eBooks, audiobooks, and videos from thousands of public libraries worldwide.Nothing very accessible for algebraic K-theory.

Blackadar's book for K-theory of operator algebras, and Atiyah's book for topological K-theory as it stood in the 's, are .COVID Resources. Reliable information about the coronavirus (COVID) is available from the World Health Organization (current situation, international travel).Numerous and frequently-updated resource results are available from this ’s WebJunction has pulled together information and resources to assist library staff as they consider how to handle coronavirus.