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$K$-theory in Algebra, Analysis and Topology
 
Edited by: Guillermo Cortiñas Universidad de Buenos Aires, Buenos Aires, Argentina
Charles A. Weibel Rutgers University, Piscataway, NJ
$K$-theory in Algebra, Analysis and Topology
Softcover ISBN:  978-1-4704-5026-7
Product Code:  CONM/749
List Price: $120.00
MAA Member Price: $108.00
AMS Member Price: $96.00
eBook ISBN:  978-1-4704-5594-1
Product Code:  CONM/749.E
List Price: $120.00
MAA Member Price: $108.00
AMS Member Price: $96.00
Softcover ISBN:  978-1-4704-5026-7
eBook: ISBN:  978-1-4704-5594-1
Product Code:  CONM/749.B
List Price: $240.00 $180.00
MAA Member Price: $216.00 $162.00
AMS Member Price: $192.00 $144.00
$K$-theory in Algebra, Analysis and Topology
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$K$-theory in Algebra, Analysis and Topology
Edited by: Guillermo Cortiñas Universidad de Buenos Aires, Buenos Aires, Argentina
Charles A. Weibel Rutgers University, Piscataway, NJ
Softcover ISBN:  978-1-4704-5026-7
Product Code:  CONM/749
List Price: $120.00
MAA Member Price: $108.00
AMS Member Price: $96.00
eBook ISBN:  978-1-4704-5594-1
Product Code:  CONM/749.E
List Price: $120.00
MAA Member Price: $108.00
AMS Member Price: $96.00
Softcover ISBN:  978-1-4704-5026-7
eBook ISBN:  978-1-4704-5594-1
Product Code:  CONM/749.B
List Price: $240.00 $180.00
MAA Member Price: $216.00 $162.00
AMS Member Price: $192.00 $144.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 7492020; 388 pp
    MSC: Primary 14; 18; 19; 47

    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.

    Readership

    Graduate students and research mathematicians interested in \(K\)-theory and its applications to algebra, analysis, or topology.

  • Table of Contents
     
     
    • Articles
    • Paul Bressler, Alexander Gorokhovsky, Ryszard Nest and Boris Tsygan — Comparison of spaces associated to DGLA via higher holonomy
    • Ulrich Bunke, Alexander Engel, Daniel Kasprowski and Christoph Winges — Equivariant coarse homotopy theory and coarse algebraic K-homology
    • Alcides Buss, Siegfried Echterhoff and Rufus Willett — Injectivity, crossed products, and amenable group actions
    • Lars Hesselholt and Thomas Nikolaus — Algebraic $K$-theory of planar cuspidal curves
    • Daniel Juan-Pineda — On $NK_{0}$ of the group of quaternions
    • Max Karoubi and Charles Weibel — The Witt group of real surfaces
    • Amalendu Krishna and Husney Parvez Sarwar — Negative $K$-theory and Chow group of monoid algebras
    • Severino T. Melo — The principal-symbol index map for an algebra of pseudodifferential operators
    • Ralf Meyer — A more general method to classify up to equivariant KK-equivalence II: Computing obstruction classes
    • Amnon Neeman — Grothendieck duality made simple
    • Jinhyun Park — Calculus of absolute Kähler forms and Milnor $K$-theory
    • Gonçalo Tabuada — Noncommutative counterparts of celebrated conjectures
    • Rufus Willett — Bott periodicity and almost commuting matrices
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 7492020; 388 pp
MSC: Primary 14; 18; 19; 47

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.

Readership

Graduate students and research mathematicians interested in \(K\)-theory and its applications to algebra, analysis, or topology.

  • Articles
  • Paul Bressler, Alexander Gorokhovsky, Ryszard Nest and Boris Tsygan — Comparison of spaces associated to DGLA via higher holonomy
  • Ulrich Bunke, Alexander Engel, Daniel Kasprowski and Christoph Winges — Equivariant coarse homotopy theory and coarse algebraic K-homology
  • Alcides Buss, Siegfried Echterhoff and Rufus Willett — Injectivity, crossed products, and amenable group actions
  • Lars Hesselholt and Thomas Nikolaus — Algebraic $K$-theory of planar cuspidal curves
  • Daniel Juan-Pineda — On $NK_{0}$ of the group of quaternions
  • Max Karoubi and Charles Weibel — The Witt group of real surfaces
  • Amalendu Krishna and Husney Parvez Sarwar — Negative $K$-theory and Chow group of monoid algebras
  • Severino T. Melo — The principal-symbol index map for an algebra of pseudodifferential operators
  • Ralf Meyer — A more general method to classify up to equivariant KK-equivalence II: Computing obstruction classes
  • Amnon Neeman — Grothendieck duality made simple
  • Jinhyun Park — Calculus of absolute Kähler forms and Milnor $K$-theory
  • Gonçalo Tabuada — Noncommutative counterparts of celebrated conjectures
  • Rufus Willett — Bott periodicity and almost commuting matrices
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.