**American Mathematical Society Translations - Series 2**

1992;
195 pp;
Hardcover

MSC: Primary 11; 13; 16; 18; 19; 20; 46; 47; 55;
Secondary 12

Print ISBN: 978-0-8218-7504-9

Product Code: TRANS2/154

List Price: $107.00

AMS Member Price: $85.60

MAA Member Price: $96.30

**Electronic ISBN: 978-1-4704-3365-9
Product Code: TRANS2/154.E**

List Price: $107.00

AMS Member Price: $85.60

MAA Member Price: $96.30

# Selected Papers in \(K\)-Theory

Share this page *Edited by *
*Simeon Ivanov*

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

## Selected Papers in $K$-Theory

- Cover Cover11
- Title page iii4
- Copyright page iv5
- Contents v6
- Russian Contents vii8
- On the congruence problem for linear groups over arithmetic rings 112
- Birational properties of the reduced Whitehead group 718
- Projective modules over group rings of nilpotent groups 1122
- On torsion in higher Milnor functors for multidimensional local fields 2536
- ๐พ-theory of Demazure models 3748
- Norms in fields of real algebraic functions, and the reduced Whitehead group 4758
- The reduced Whitehead group of weakly and totally ramified division algebras 5364
- The structure of unitary and orthogonal groups over Henselian discretely normed Azumaya algebras 5768
- Reduced unitary Whitehead groups and noncommutative rational functions 6374
- Rational splitting fields of simple algebras and unirationality of conic bundles 6980
- Crossed products of simple algebras and their automorphism groups 7586
- On the metaplectic kernel for anisotropic groups 8192
- The metaplectic kernel for the group ๐๐ฟ(1,๐ท) 8798
- On finite presentability of reduced norms in simple algebras 93104
- Unitarity of the multiplicative group of a group algebra 99110
- Profinite completions of linear solvable groups 107118
- On the Grothendieck and Platonov conjectures 113124
- The congruence problem for solvable algebraic groups over global fields of positive characteristic 119130
- ๐พ-theory of free products and the Bass problem 125136
- On a theorem of Gersten for graded rings 131142
- Algebraic ๐พ-theory of Banach algebras 133144
- On the finite generation of the character ring of three-dimensional unimodular group representations 139150
- The ๐พ_{๐บ}-functor on the category of inverse spectra of topological spaces 145156
- ๐พ-theory on the category of distributive lattices 153164
- ๐พ-theory on the category of topological spaces 159170
- ๐พ-theory on the category of Boolean algebras with closure 165176
- On index theory for a family of Fredholm complexes 171182
- On noncommutative function spaces 179190
- Generalized resolvents of nondensely defined bounded symmetric operators 189200
- Back Cover Back Cover1209