By Spencer Bloch (auth.), Eric M. Friedlander, Michael R. Stein (eds.)

ISBN-10: 3540106987

ISBN-13: 9783540106982

ISBN-10: 3540386467

ISBN-13: 9783540386469

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Read or Download Algebraic K-Theory Evanston 1980: Proceedings of the Conference Held at Northwestern University Evanston, March 24–27, 1980 PDF

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Additional resources for Algebraic K-Theory Evanston 1980: Proceedings of the Conference Held at Northwestern University Evanston, March 24–27, 1980

Sample text

S from some ~ set satisfying objects We A(a) R, t h e n we define a are assumed remark associated that in ~ prime . be as in the d e f i n i t i o n S c R is a S N I(~) Then A(~S) ] = lim each is n o n e m p t y . maximal and s u p p o s e is e s s e n t i a l l y with that we have then I(~), introduce set of a r i n g whose ~,A,R,~(a),I(a) A(G) we set of maps, of is d i s j o i n t Proposition at a p o i n t a functor to be a p r i m e from of the geometric (and of its s i n g u l a r closed a coherent ~(~) S all m a x i m a l ring~ ~(6) = ~.

The rings §3 a p p l i e s in and coincide of these generalize all of of ciassical introduced groups of by comparing also in a number topological We a r e groups devoted KV-theory §3 a n d t h e sequence to the spectral of negative a GL-fibration This KV-theory > 0 sequences A(~). spectral i to lim in By KV~e we m e a n t h e these codomaln. some calculations p. similar a map b e KV-theory sequence sequences. statement the Karoubi- rings ~n k a general En §5 we g i v e our that theorem. and the in for be Ko-regular.

Xn}. In this x. in case the I(~) for coordinate is of Kl-regular. [6], for each ¢(~) of [6] is the every the hypothesis, hyperplanes, the of notation through position is and thatA(V) The poset of V passes ~ V the in which special assume of that the enough" coordinate subposet ordering. ,Xn] {fH}. By the set will of ~ (k-algebras), L of V is the = : ~ A(L) ring ~ poser letting by in ~ {Li}. A generated A(V) the the define subspace we be origin. , can that case, I(~) is generated each a in ~. , ~ U ~(~k ).

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Algebraic K-Theory Evanston 1980: Proceedings of the Conference Held at Northwestern University Evanston, March 24–27, 1980 by Spencer Bloch (auth.), Eric M. Friedlander, Michael R. Stein (eds.)


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