K-theory in algebra, analysis and topology : ICM 2018 Satellite school and workshop k-theory conference, Argentina, 2018, July 16-20 and July 23-27, 2018, La Plata and Buenos Aires, Argentina / Guillermo Cortiñas, Charles A. Weibel, editors.

Format:

Book

Conference/Event

Author/Creator:

Cortiñas, Guillermo, editor.

Contributor:

Weibel, Charles A., 1950- editor.

Conference Name:

K-theory Workshop (2018 : Universidad de Buenos Aires)

Series:

Contemporary mathematics (American Mathematical Society). 0271-4132 749

Contemporary mathematics, 749 0271-4132

Language:

English

Subjects (All):

K-theory.

Noncommutative algebras.

Geometry, Algebraic.

Algebra, Homological.

Physical Description:

1 online resource

Edition:

1st ed.

Place of Publication:

Providence, Rhode Island : American Mathematical Society, [2020]

Language Note:

English

Summary:

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.

Contents:

Comparison of spaces associated to DGLA via higher holonomy / P. Bressler, A. Gorokhovsky, R. Nest, and B. Tsygan

Equivariant coarse homotopy theory and coarse algebraic K-homology / U. Bunke, A. Engel, D. Kasprowski, and C. Winges

Injectivity, crossed products, and amenable group actions / A. Buss, S. Echterhoff, and R. Willett

Algebraic K-theory of planar cuspidal curves / L. Hesselholt, T. Nikolaus

On NK₀ of the group of quaternions / D. Juan-Pineda

The Witt group of real surfaces / M. Karoubi and C. Weibel

Negative K-theory and Chow group of monoid algebras / A. Krishna and A.P. Sarwar

The principal-symbol index map for an algebra of pseudodifferential operators / T. Melo

A more general method to classify up to equivariant KK-equivalence II : Computing obstruction classes / R. Meyer

Grothendieck duality made simple / A. Neeman

Calculus of absolute Kahler forms and Milnor K-theory / J. Park

Noncommutative counterparts of celebrated conjectures / G. Tabuada

Bott periodicity and almost commuting matrices / R. Willett.

Notes:

"As part of the Satellite activities for the 2018 ICM in Rio de Janeiro, there was a K-theory conference in Argentina, which consisted of a Summer School, held July 16-20 at the National University of La Plata, followed by a K-theory workshop which took place July 23-27 at the University of Buenos Aires. This volume contains the Proceedings resulting from that workshop"-- Preface.

Includes bibliographical references.

Description based on print version record.

ISBN:

9781470455941

1470455943