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Selected Papers in $K$-Theory
 
Edited by: Simeon Ivanov
Selected Papers in $K$-Theory
Hardcover ISBN:  978-0-8218-7504-9
Product Code:  TRANS2/154
List Price: $175.00
MAA Member Price: $157.50
AMS Member Price: $140.00
eBook ISBN:  978-1-4704-3365-9
Product Code:  TRANS2/154.E
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
Hardcover ISBN:  978-0-8218-7504-9
eBook: ISBN:  978-1-4704-3365-9
Product Code:  TRANS2/154.B
List Price: $340.00 $257.50
MAA Member Price: $306.00 $231.75
AMS Member Price: $272.00 $206.00
Selected Papers in $K$-Theory
Click above image for expanded view
Selected Papers in $K$-Theory
Edited by: Simeon Ivanov
Hardcover ISBN:  978-0-8218-7504-9
Product Code:  TRANS2/154
List Price: $175.00
MAA Member Price: $157.50
AMS Member Price: $140.00
eBook ISBN:  978-1-4704-3365-9
Product Code:  TRANS2/154.E
List Price: $165.00
MAA Member Price: $148.50
AMS Member Price: $132.00
Hardcover ISBN:  978-0-8218-7504-9
eBook ISBN:  978-1-4704-3365-9
Product Code:  TRANS2/154.B
List Price: $340.00 $257.50
MAA Member Price: $306.00 $231.75
AMS Member Price: $272.00 $206.00
  • Book Details
     
     
    American Mathematical Society Translations - Series 2
    Volume: 1541992; 195 pp
    MSC: Primary 11; 13; 16; 18; 19

    This book contains papers ranging over a number of topics relating to \(K\)-theory, including algebraic number theory, Grothendieck and Whitehead groups, group representation theory, linear algebraic groups, selfadjoint operator algebras, linear operators, homology and cohomology, and the use of \(K\)-theory in geometry.

    Readership

    Research mathematicians.

  • Table of Contents
     
     
    • Chapters
    • V. P. Platonov and A. A. Sharomet — On the congruence problem for linear groups over arithmetic rings
    • V. P. Platonov — Birational properties of the reduced Whitehead group
    • V. A. Artamonov — Projective modules over group rings of nilpotent groups
    • S. V. Vostokov and I. B. Fesenko — On torsion in higher Milnor functors for multidimensional local fields
    • A. A. Klyachko — $K$-theory of Demazure models
    • V. A. Lipnitskiĭ — Norms in fields of real algebraic functions, and the reduced Whitehead group
    • V. A. Lipnitskiĭ — The reduced Whitehead group of weakly and totally ramified division algebras
    • V. I. Kaskevich — The structure of unitary and orthogonal groups over Henselian discretely normed Azumaya algebras
    • V. I. Yanchevskiĭ — Reduced unitary Whitehead groups and noncommutative rational functions
    • I. I. Voronovich and V. I. Yanchevskiĭ — Rational splitting fields of simple algebras and unirationality of conic bundles
    • V. V. Kursov and V. I. Yanchevskiĭ — Crossed products of simple algebras and their automorphism groups
    • A. S. Rapinchuk — On the metaplectic kernel for anisotropic groups
    • A. S. Rapinchuk — The metaplectic kernel for the group $SL(1,D)$
    • A. S. Rapinchuk — On finite presentability of reduced norms in simple algebras
    • A. Bovdi — Unitarity of the multiplicative group of a group algebra
    • O. I. Tavgen′ — Profinite completions of linear solvable groups
    • O. I. Tavgen′ — On the Grothendieck and Platonov conjectures
    • A. A. Sharomet — The congruence problem for solvable algebraic groups over global fields of positive characteristic
    • A. V. Prasolov — $K$-theory of free products and the Bass problem
    • A. V. Prasolov — On a theorem of Gersten for graded rings
    • A. V. Prasolov — Algebraic $K$-theory of Banach algebras
    • V. V. Benyash-Krivets — On the finite generation of the character ring of three-dimensional unimodular group representations
    • S. A. Baĭramov — The $K_G$-functor on the category of inverse spectra of topological spaces
    • M. R. Bunyatov and S. A. Baĭramov — $K$-theory on the category of distributive lattices
    • M. R. Bunyatov and S. A. Baĭramov — $K$-theory on the category of topological spaces
    • M. R. Bunyatov and S. A. Baĭramov — $K$-theory on the category of Boolean algebras with closure
    • M. R. Bunyatov and S. A. Baĭramov — On index theory for a family of Fredholm complexes
    • A. M. Bikchentaev — On noncommutative function spaces
    • A. V. Shtraus — Generalized resolvents of nondensely defined bounded symmetric operators
  • 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: 1541992; 195 pp
MSC: Primary 11; 13; 16; 18; 19

This book contains papers ranging over a number of topics relating to \(K\)-theory, including algebraic number theory, Grothendieck and Whitehead groups, group representation theory, linear algebraic groups, selfadjoint operator algebras, linear operators, homology and cohomology, and the use of \(K\)-theory in geometry.

Readership

Research mathematicians.

  • Chapters
  • V. P. Platonov and A. A. Sharomet — On the congruence problem for linear groups over arithmetic rings
  • V. P. Platonov — Birational properties of the reduced Whitehead group
  • V. A. Artamonov — Projective modules over group rings of nilpotent groups
  • S. V. Vostokov and I. B. Fesenko — On torsion in higher Milnor functors for multidimensional local fields
  • A. A. Klyachko — $K$-theory of Demazure models
  • V. A. Lipnitskiĭ — Norms in fields of real algebraic functions, and the reduced Whitehead group
  • V. A. Lipnitskiĭ — The reduced Whitehead group of weakly and totally ramified division algebras
  • V. I. Kaskevich — The structure of unitary and orthogonal groups over Henselian discretely normed Azumaya algebras
  • V. I. Yanchevskiĭ — Reduced unitary Whitehead groups and noncommutative rational functions
  • I. I. Voronovich and V. I. Yanchevskiĭ — Rational splitting fields of simple algebras and unirationality of conic bundles
  • V. V. Kursov and V. I. Yanchevskiĭ — Crossed products of simple algebras and their automorphism groups
  • A. S. Rapinchuk — On the metaplectic kernel for anisotropic groups
  • A. S. Rapinchuk — The metaplectic kernel for the group $SL(1,D)$
  • A. S. Rapinchuk — On finite presentability of reduced norms in simple algebras
  • A. Bovdi — Unitarity of the multiplicative group of a group algebra
  • O. I. Tavgen′ — Profinite completions of linear solvable groups
  • O. I. Tavgen′ — On the Grothendieck and Platonov conjectures
  • A. A. Sharomet — The congruence problem for solvable algebraic groups over global fields of positive characteristic
  • A. V. Prasolov — $K$-theory of free products and the Bass problem
  • A. V. Prasolov — On a theorem of Gersten for graded rings
  • A. V. Prasolov — Algebraic $K$-theory of Banach algebras
  • V. V. Benyash-Krivets — On the finite generation of the character ring of three-dimensional unimodular group representations
  • S. A. Baĭramov — The $K_G$-functor on the category of inverse spectra of topological spaces
  • M. R. Bunyatov and S. A. Baĭramov — $K$-theory on the category of distributive lattices
  • M. R. Bunyatov and S. A. Baĭramov — $K$-theory on the category of topological spaces
  • M. R. Bunyatov and S. A. Baĭramov — $K$-theory on the category of Boolean algebras with closure
  • M. R. Bunyatov and S. A. Baĭramov — On index theory for a family of Fredholm complexes
  • A. M. Bikchentaev — On noncommutative function spaces
  • A. V. Shtraus — Generalized resolvents of nondensely defined bounded symmetric operators
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
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