Softcover ISBN:  9781470450267 
Product Code:  CONM/749 
List Price:  $120.00 
MAA Member Price:  $108.00 
AMS Member Price:  $96.00 
eBook ISBN:  9781470455941 
Product Code:  CONM/749.E 
List Price:  $120.00 
MAA Member Price:  $108.00 
AMS Member Price:  $96.00 
Softcover ISBN:  9781470450267 
eBook: ISBN:  9781470455941 
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 
Softcover ISBN:  9781470450267 
Product Code:  CONM/749 
List Price:  $120.00 
MAA Member Price:  $108.00 
AMS Member Price:  $96.00 
eBook ISBN:  9781470455941 
Product Code:  CONM/749.E 
List Price:  $120.00 
MAA Member Price:  $108.00 
AMS Member Price:  $96.00 
Softcover ISBN:  9781470450267 
eBook ISBN:  9781470455941 
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 DetailsContemporary MathematicsVolume: 749; 2020; 388 ppMSC: 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.
ReadershipGraduate 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 Khomology

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 JuanPineda — 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 principalsymbol index map for an algebra of pseudodifferential operators

Ralf Meyer — A more general method to classify up to equivariant KKequivalence 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

RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
 Book Details
 Table of Contents
 Additional Material
 Requests
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.
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 Khomology

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 JuanPineda — 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 principalsymbol index map for an algebra of pseudodifferential operators

Ralf Meyer — A more general method to classify up to equivariant KKequivalence 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