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ContentsPreface......................................................................vIntroduction.................................................................ixProgram list of speakers and topics...........................................xiiiCategorical aspects of bivariant K-theoryRalf Meyer ..................................................................1Inheritance of isomorphism conjectures under colimitsArthur Bartels, Siegfried Echterhoff, and Wolfgang Lück ........................41Coarse and equivariant co-assembly mapsHeath Emerson and Ralf Meyer ..............................................71On K 1 of a Waldhausen categoryFernando Muro and Andrew Tonks ............................................91Twisted K-theory – old and newMax Karoubi ..............................................................117Equivariant cyclic homology for quantum groupsChristian Voigt ............................................................151A Schwartz type algebra for the tangent groupoidPaulo Carrillo Rouse .......................................................181C -algebras associated with the ax C b-semigroup over NJoachim Cuntz.............................................................201On a class of Hilbert C*-manifoldsWend Werner ..............................................................217Duality for topological abelian group stacks and T -dualityUlrich Bunke, Thomas Schick, Markus Spitzweck, and Andreas Thom ...........227
viiiContentsDeformations of gerbes on smooth manifoldsPaul Bressler, Alexander Gorokhovsky, Ryszard Nest, and Boris Tsygan .........349Torsion classes of finite type and spectraGrigory Garkusha and Mike Prest ...........................................393Parshin’s conjecture revisitedThomas Geisser ...........................................................413Axioms for the norm residue isomorphismCharles Weibel ............................................................427List of contributors ........................................................437List of participants .........................................................439
Page 3 and 4: EMS Series of Congress ReportsEMS S
Page 5 and 6: Editors:Guillermo CortiñasDepartam
Page 10 and 11: IntroductionSince its inception 50
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42 A. Bartels, S. Echterhoff, and W
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72 H. Emerson and R. MeyerIn this s
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74 H. Emerson and R. MeyerK-theoret
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76 H. Emerson and R. MeyerExample 4
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78 H. Emerson and R. Meyerand exact
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80 H. Emerson and R. Meyercondition
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82 H. Emerson and R. MeyerAs a resu
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84 H. Emerson and R. MeyerLet h and
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86 H. Emerson and R. MeyerCorollary
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88 H. Emerson and R. Meyer5 Dual-Di
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On K 1 of a Waldhausen categoryFern
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On K 1 of a Waldhausen category 93t
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118 M. Karoubi[35], M. F. Atiyah an
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120 M. Karoubihere by GrK n .A/, ar
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122 M. Karoubi(resp. 1) in A. In th
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124 M. Karoubithe class ˛ of A in
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126 M. Karoubiested in the complex
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128 M. KaroubiThe same method may b
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130 M. KaroubiBy the usual excision
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132 M. KaroubiLet A be a graded twi
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134 M. Karoubithe same ideas as in
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136 M. KaroubiTheorem 6.2. 25 The (
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138 M. KaroubiIn order to show this
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140 M. KaroubiThe following theorem
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142 M. KaroubiWe would like to poin
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144 M. KaroubiZ=n identified with t
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146 M. Karoubiwhere n is the ring
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148 M. Karoubi[6] M. F. Atiyah, R.
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Equivariant cyclic homology for qua
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174 C. Voigtand using ˇ.x; y/ D .S
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176 C. Voigtalgebra A. The space Cn
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178 C. VoigtKK-theory [16]. Hence,
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A Schwartz type algebra for the tan
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202 J. CuntzWe denote by N the set
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204 J. CuntzConsider the action of
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206 J. Cuntzprime numbers p and q,
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208 J. Cuntz6 Representations as cr
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210 J. CuntzProof. The spectral pro
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212 J. CuntzThe operator s 1 plays
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214 J. CuntzProposition 7.4. The K-
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On a class of Hilbert C*-manifoldsW
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228 U. Bunke, T. Schick, M. Spitzwe
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Deformations of gerbes on smooth ma
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Torsion classes of finite type and
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Parshin’s conjecture revisitedTho
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428 C. WeibelGiven (0.4) and axiom
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430 C. WeibelAs pointed out in the
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432 C. WeibelConsider the cohomolog
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434 C. WeibelWe need to see that th
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List of contributorsArthur Bartels,
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List of participantsNatalia Abad Sa
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