## On the K-theory of local fields.(English)Zbl 0548.12009

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.
Reviewer: R.Steiner

### MSC:

 11S70 $$K$$-theory of local fields 18F25 Algebraic $$K$$-theory and $$L$$-theory (category-theoretic aspects) 13D15 Grothendieck groups, $$K$$-theory and commutative rings

Zbl 0514.18008
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### References:

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