Fr. 69.00

Algebraic K-Theory II. Proceedings of the Conference Held at the Seattle Research Center of Battelle Memorial Institute, August 28 - September 8, 1972 - "Classical" Algebraic K-Theory, and Connections with Arithmetic

English · Paperback / Softback

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Some problems in "classical" algebraic K-theory.- Comparison of algebraic and topological K-theory.- Applications algebriques du tore dans la sphere et de Sp × Sq dans Sp+q.- On the Ko of certain polynomial extensions.- K0 and K1 of polynomial rings.- Base change for K0 of algebraic varieties.- On free product of rings and the coherence property.- Whitehead groups of free products with amalgamation.- Whitehead groups of generalized free products.- Contributions to the theory of induced representations.- The functor K2: A survey of computations and problems.- Variations on Milnor's computation of K2Z.- Decomposition formula of laurent extension in algebraic K-theory and the role of codimension 1 submanifold in topology.- Pseudo-isotopy and K2.- Suspension, automorphisms, and division algebras.- The Milnor ring of a global field.- On the quaternion symbol homomorphism gF: k2F?B(F).- On the torsion in K2 of local fields.- Continuous symbols on fields of formal power series.- Values of zeta-functions, étale cohomology, and algebraic K-theory.- "K-theory and Iwasawa's analogue of the Jacobian".- Research problems: Arithmetic cuestions in K-theory.- Letter from tate to Iwasawa on a relation between K2 and galois cohomology.

List of contents

Some problems in "classical" algebraic K-theory.- Comparison of algebraic and topological K-theory.- Applications algebriques du tore dans la sphere et de Sp × Sq dans Sp+q.- On the Ko of certain polynomial extensions.- K0 and K1 of polynomial rings.- Base change for K0 of algebraic varieties.- On free product of rings and the coherence property.- Whitehead groups of free products with amalgamation.- Whitehead groups of generalized free products.- Contributions to the theory of induced representations.- The functor K2: A survey of computations and problems.- Variations on Milnor's computation of K2Z.- Decomposition formula of laurent extension in algebraic K-theory and the role of codimension 1 submanifold in topology.- Pseudo-isotopy and K2.- Suspension, automorphisms, and division algebras.- The Milnor ring of a global field.- On the quaternion symbol homomorphism gF: k2F?B(F).- On the torsion in K2 of local fields.- Continuous symbols on fields of formal power series.- Values of zeta-functions, étale cohomology, and algebraic K-theory.- "K-theory and Iwasawa's analogue of the Jacobian".- Research problems: Arithmetic cuestions in K-theory.- Letter from tate to Iwasawa on a relation between K2 and galois cohomology.

Product details

Authors Hyman Bass
Assisted by H. Bass (Editor)
Publisher Springer, Berlin
 
Languages English
Product format Paperback / Softback
Released 01.01.1973
 
EAN 9783540064350
ISBN 978-3-540-06435-0
No. of pages 527
Weight 721 g
Series Lecture Notes in Mathematics
Lecture Notes in Mathematics
Subject Natural sciences, medicine, IT, technology > Mathematics > Geometry

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