an:03873453
Zbl 0548.12009
Suslin, Andrei A.
On the K-theory of local fields
EN
J. Pure Appl. Algebra 34, 301-318 (1984).
00149768
1984
j
11S70 18F25 13D15
Henselian valuation rings; K-theory of local fields; K-theory of algebraically closed fields; Lichtenbaum conjecture
The author completes his proof of the Lichtenbaum conjecture on the algebraic K-theory of an algebraically closed field. In [Invent. Math. 73, 241-245 (1983; Zbl 0514.18008)] he showed that it suffices to take one field of each characteristic. Here, by considering local rings, he shows that one needs only one field altogether. He computes the K-theory of the complex numbers (also of the real numbers), and so makes the proof independent of computations for fields of finite characteristic.
R.Steiner
Zbl 0514.18008