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K-theory in Algebra, Analysis and Topology, Paperback / softback Book

K-theory in Algebra, Analysis and Topology Paperback / softback

Edited by Guillermo Cortinas

Part of the Contemporary Mathematics series

Paperback / softback

Description

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.

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