Algebraic K-theory II: classical algebraic K-theory and connections with arithmetic/
Hyman Bass
- New York : Springer, 1973.
- xv,527p. : 25cm.
- Lecture notes in mathematics (Springer-Verlag), 342. .
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.