I started to learn some algebraic $K$-theory and its relation to geometric topology problems. My question is : What is the list of rings such that all their algebraic $K$-theory groups are known ? I have read that the $K$-theory of finite fields is known. Is there other (non trivial) examples ?
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1$\begingroup$ This is fairly close to the MO-question mathoverflow.net/questions/163811 whose answer contains a list of known K-theory computations for commutative rings. $\endgroup$– Matthias WendtDec 12, 2015 at 15:24
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