K-theory in Algebra, Analysis and Topology

Häftad, Engelska, 2020

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Beskrivning

This volume contains the proceedings of the ICM 2018 satellite school and workshop $K$-theory conference in Argentina. The school was held from July 16-20, 2018, in La Plata, Argentina, and the workshop was held from July 23-27, 2018, in Buenos Aires, Argentina.The volume showcases current developments in $K$-theory and related areas, including motives, homological algebra, index theory, operator algebras, and their applications and connections. Papers cover topics such as $K$-theory of group rings, Witt groups of real algebraic varieties, coarse homology theories, topological cyclic homology, negative $K$-groups of monoid algebras, Milnor $K$-theory and regulators, noncommutative motives, the classification of $C^*$-algebras via Kasparov's $K$-theory, the comparison between full and reduced $C^*$-crossed products, and a proof of Bott periodicity using almost commuting matrices.

Produktinformation

Utgivningsdatum:2020-06-30
Mått:178 x 254 x undefined mm
Vikt:695 g
Format:Häftad
Språk:Engelska
Serie:Contemporary Mathematics
Antal sidor:388
Förlag:American Mathematical Society
ISBN:9781470450267

Utforska kategorier

Topologi inom Naturvetenskap och teknik
Matematik inom Naturvetenskap och teknik

Mer om författaren

Guillermo Cortinas, Universidad de Buenos Aires, Argentina.Charles A. Weibel, Rutgers University, Piscataway, NJ, USA.

Innehållsförteckning

P. Bressler, A. Gorokhovsky, R. Nest, and B. Tsygan, Comparison of spaces associated to DGLA via higher holonomyU. Bunke, A. Engel, D. Kasprowski, and C. Winges, Equivariant coarse homotopy theory and coarse algebraic K-homologyA. Buss, S. Echterhoff, and R. Willett, Injectivity, crossed products, and amenable group actionsL. Hesselholt and T. Nikolaus, Algebraic $K$-theory of planar cuspidal curvesD. Juan-Pineda, On $NK_0$ of the group of quaternionsM. Karoubi and C. Weibel, The Witt group of real surfacesA. Krishna and H. P. Sarwar, Negative $K$-theory and Chow group of monoid algebrasS. T. Melo, The principal-symbol index map for an algebra of pseudodifferential operatorsR. Meyer, A more general method to classify up to equivariant KK-equivalence II: Computing obstruction classesA. Neeman, Grothendieck duality made simpleJ. Park, Calculus of absolute Kahler forms and Milnor $K$-theoryG. Tabuada, Noncommutative counterparts of celebrated conjecturesR. Willett, Bott periodicity and almost commuting matrices.