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Editors:Guillermo CortiñasDepartamento de MatemáticaFacultad de CienciasExactas y NaturalesUniversidad de Buenos AiresCiudad Universitaria Pab. 11428 Buenos Aires, ArgentinaEmail: gcorti@dm.uba.arJoachim CuntzMathematisches InstitutWestfälische Wilhelms-UniversitätMünsterEinsteinstraße 6248149 Münster, GermanyEmail: cuntz@math.uni-muenster.deMax KaroubiUniversité Paris 72 place Jussieu75251 Paris, FranceEmail: max.karoubi@gmail.comRyszard NestDepartment of MathematicsCopenhagen UniversityUniversitetsparken 52100 Copenhagen, DenmarkEmail: rnest@math.ku.dkCharles A. WeibelDepartment of MathematicsRutgers UniversityHill Center – Busch Campus110 Frelinghuysen RoadPiscataway, NJ 08854-8019, U.S.A.Email: weibel@math.rutgers.edu2000 Mathematics Subject Classification: 19-06, 58-06; 14A22, 14Fxx, 46Lxx, 53D55, 58BxxKey words: Isomorphism conjectures, Waldhausen K-theory, twisted K-theory, equivariant cyclichomology, index theory, Bost–Connes algebra, C*-manifolds, T-duality, deformation of gerbes, torsiontheories, Parshin conjecture, Bloch–Kato conjectureISBN 978-3-03719-060-9The Swiss National Library lists this publication in The Swiss Book, the Swiss national bibliography,and the detailed bibliographic data are available on the Internet at http://www.helveticat.ch.This work is subject to copyright. All rights are reserved, whether the whole or part of the materialis concerned, specifically the rights of translation, reprinting, re-use of illustrations, recitation,broadcasting, reproduction on microfilms or in other ways, and storage in data banks. For any kind ofuse permission of the copyright owner must be obtained.© 2008 European Mathematical SocietyContact address:European Mathematical Society Publishing HouseSeminar for Applied MathematicsETH-Zentrum FLI C4CH-8092 ZürichSwitzerlandPhone: +41 (0)44 632 34 36Email: info@ems-ph.orgHomepage: www.ems-ph.orgTypeset using the authors’ T E X files: I. Zimmermann, FreiburgPrinted in Germany9 8 7 6 5 4 3 2 1