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Selected Papers in $K$Theory
Edited by:
Simeon Ivanov
eBook ISBN:  9781470433659 
Product Code:  TRANS2/154.E 
List Price:  $165.00 
MAA Member Price:  $148.50 
AMS Member Price:  $132.00 
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Selected Papers in $K$Theory
Edited by:
Simeon Ivanov
eBook ISBN:  9781470433659 
Product Code:  TRANS2/154.E 
List Price:  $165.00 
MAA Member Price:  $148.50 
AMS Member Price:  $132.00 

Book DetailsAmerican Mathematical Society Translations  Series 2Volume: 154; 1992; 195 ppMSC: 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.
ReadershipResearch 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. BenyashKrivets — On the finite generation of the character ring of threedimensional 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


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Volume: 154; 1992; 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. BenyashKrivets — On the finite generation of the character ring of threedimensional 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
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