K-theory

introduction

Norm residue isomorphism theorem
- isomorphism from Milnor K-theory mod l to étale cohomology
- motivic Bloch–Kato conjecture
- generalization of the Milnor conjecture
- consequence : Quillen–Lichtenbaum conjecture

CHRISTOPHE SOULE, HIGHER K-THEORY OF ALGEBRAIC INTEGERS AND THE COHOMOLOGY OF ARITHMETIC GROUPS
Arlettaz, D. 2000. “Algebraic \(K\)-theory of rings from a topological viewpoint.” Publicacions Matemàtiques 44 (1) (January 11): 3–84.
an introduction to algebraic K-theory
- T. Y. Lam and M. K. Siu, The American Mathematical Monthly, Vol. 82, No. 4 (Apr., 1975), pp. 329-364
K-THEORY. An elementary introduction
- Max Karoubi. Conference at the Clay Mathematics Research Academy
The development of Algebraic K-theory before 1980
- Charles A. Weibel
A brief glance at K-theory
A BRIEF GUIDE TO ORDINARY K-THEORY