Topics in Algebraic and Topological K-Theory
This volume is an introductory textbook to K-theory, both algebraic and topological, and to various current research topics within the field, including Kasparov's bivariant K-theory, the Baum-Connes conjecture, the comparison between algebraic and topolog
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2008
Paul Frank Baum · Guillermo Corti˜nas Ralf Meyer · Rub´en S´anchez-Garc´ıa Marco Schlichting · Bertrand To¨en
Topics in Algebraic and Topological K-Theory Editor: Guillermo Corti˜nas
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Paul Frank Baum
Rub´en S´anchez-Garc´ıa
The Pennsylvania State University Mathematics Department 312, McAllister Building University Park, PA 16802 USA [email protected]
Heinrich-Heine-Universit¨at D¨usseldorf Mathematisches Institut Universit¨atsstrasse 1 40225 D¨usseldorf Germany [email protected]
Guillermo Corti˜nas Universidad de Buenos Aires Facultad de Ciencias Exactas y Naturales Mathematics Department C1428EGA Ciudad Aut´onoma de Buenos Aires Argentina [email protected]
Marco Schlichting University of Warwick Mathematics Institute Zeeman Building Coventry CV4 7AL United Kingdom [email protected]
Bertrand To¨en Ralf Meyer Universit¨at G¨ottingen Mathematisches Institut Bunsenstr. 3-5 37073 G¨ottingen Germany [email protected]
Universit´e Montpellier II Institut de Math´ematiques et de Mod´elisation de Montpellier Place Eug´ene Bataillon 34095 Montpellier France [email protected]
ISBN: 978-3-642-15707-3 e-ISBN: 978-3-642-15708-0 DOI: 10.1007/978-3-642-15708-0 Springer Heidelberg Dordrecht London New York Lecture Notes in Mathematics ISSN print edition: 0075-8434 ISSN electronic edition: 1617-9692 Library of Congress Control Number: 2010938612 Mathematics Subject Classification (2010): 19-XX c Springer-Verlag Berlin Heidelberg 2011 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Cover photo with kind permission by Eugenia Ellis. It shows a snowman built by the winter school participants. Cover design: SPi Publisher Services Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
Foreword
The five articles of this volume evolved from the lecture notes of Swisk1 , the Sedano Winter School on K-theory held in Sedano, Spain, during the week January 22–27 of 2007. Lectures were delivered by Paul F. Baum, Carlo Mazza, Ralf Meyer, Marco Schlichting, Betrand To¨en and myself, for a public of 45 participants. The school was supported by the Ministerio de Educaci´on y Ciencia and the Proyecto Consolider Mathematica of Spain. Funding to cover expe
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