K-theory in algebra, analysis and topology

K-theory in algebra, analysis and topology / Guillermo Cortiñas, Charles Weibel, editors.

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 developmen...

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Bibliographic Details
Corporate Author: K-theory Workshop Universidad de Buenos Aires
Other Authors: Cortiñas, Guillermo (Editor), Weibel, Charles A., 1950- (Editor)
Format: eBook
Language:English
Published: Providence, Rhode Island : American Mathematical Society, [2020]
Series:Contemporary mathematics, v. 749
Subjects:
K-theory.
Geometry, Algebraic.
Noncommutative algebras.
Algebra, Homological.
Geometría algebraica
Algebra, Homological
Geometry, Algebraic
K-theory
Noncommutative algebras
Algebraic geometry > Foundations > Noncommutative algebraic geometry [See also 16S38].
Algebraic geometry > (Co)homology theory > Sheaves, derived categories of sheaves and related constructions.
Category theory; homological algebra.
K-theory > Grothendieck groups and $K_0$ > $K_0$ of group rings and orders.
K-theory > Higher algebraic $K$-theory.
K-theory > $K$-theory of forms [See also 11Exx] > Witt groups of rings [See also 11E81].
K-theory > $K$-theory and operator algebras > Kasparov theory ($KK$-theory).
K-theory > $K$-theory and operator algebras > Index theory.
Operator theory > Linear spaces and algebras of operators > Crossed product algebras (analytic crossed products).
Online Access:Click for online access
Table of Contents:
  • Comparison of spaces associated to DGLA via higher holonomy / Paul Bressler, Alexander Gorokhovsky, Ryszard Nest and Boris Tsygan
  • Equivariant coarse homotopy theory and coarse algebraic K-homology / Ulrich Bunke, Alexander Engel, Daniel Kasprowski and Christoph Winges
  • Injectivity, crossed products, and amenable group actions / Alcides Buss, Siegfried Echterhoff and Rufus Willett
  • Algebraic $K$-theory of planar cuspidal curves / Lars Hesselholt and Thomas Nikolaus
  • On $NK_{0}$ of the group of quaternions / Daniel Juan-Pineda
  • The Witt group of real surfaces / Max Karoubi and Charles Weibel
  • Negative $K$-theory and Chow group of monoid algebras / Amalendu Krishna and Husney Parvez Sarwar
  • The principal-symbol index map for an algebra of pseudodifferential operators / Severino T. Melo
  • A more general method to classify up to equivariant KK-equivalence II: Computing obstruction classes / Ralf Meyer
  • Grothendieck duality made simple / Amnon Neeman
  • Calculus of absolute Kähler forms and Milnor $K$-theory / Jinhyun Park
  • Noncommutative counterparts of celebrated conjectures / Gonçalo Tabuada
  • Bott periodicity and almost commuting matrices / Rufus Willett.

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