K-theory in Algebra, Analysis and Topology

ISBN-13: 9781470450267

Guillermo Cortinas;Charles A. Weibel

Opis

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.

Spis treści

• P. Bressler, A. Gorokhovsky, R. Nest, and B. Tsygan, Comparison of spaces associated to DGLA via higher holonomy
• U. Bunke, A. Engel, D. Kasprowski, and C. Winges, Equivariant coarse homotopy theory and coarse algebraic K-homology
• A. Buss, S. Echterhoff, and R. Willett, Injectivity, crossed products, and amenable group actions
• L. Hesselholt and T. Nikolaus, Algebraic $K$-theory of planar cuspidal curves
• D. Juan-Pineda, On $NK_0$ of the group of quaternions
• M. Karoubi and C. Weibel, The Witt group of real surfaces
• A. Krishna and H. P. Sarwar, Negative $K$-theory and Chow group of monoid algebras
• S. T. Melo, The principal-symbol index map for an algebra of pseudodifferential operators
• R. Meyer, A more general method to classify up to equivariant KK-equivalence II: Computing obstruction classes
• A. Neeman, Grothendieck duality made simple
• J. Park, Calculus of absolute Kahler forms and Milnor $K$-theory
• G. Tabuada, Noncommutative counterparts of celebrated conjectures
• R. Willett, Bott periodicity and almost commuting matrices.