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

von Hyman Bass

544 Seiten, Taschenbuch

Kurzbeschreibung des Verlags

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.

• Reihe: Lecture Notes in Mathematics
• Themen: Mathematik und Naturwissenschaften Mathematik Topologie Algebraische Topologie
• ISBN: 9783540064350
• Sprache: Englisch
• Erscheinungsdatum: 01.01.1973
• Größe: 235 x 155 mm
• Verlag: Springer