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Detecting algebraic K-theory

Part of: Categories and geometry

Published online by Cambridge University Press:  26 February 2010

Victor Snaith
Victor Snaith
Affiliation:
The University of Western Ontario, London, Ontario, Canada, N6A 5B7.
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Extract

Let l be a prime and let v ≥ 1 be an integer (when l = 2 we assume v ≥ 2). Any ring, A, with unit, possesses mod lv algebraic K-groups [B] denoted by Ki(A; Z/v) (i ≥ 0). For i ≥ 2, Ki(A; Z/lv) = [Pi(lv), BGLA +], the group of based homotopy classes of maps from the Moore space , to BGLA+, the classifying space of algebraic K-theory [G–Q ; W].

MSC classification

Secondary: 18F25: Algebraic $K$-theory and $L$-theory

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Type
Research Article
Information
Mathematika , Volume 31 , Issue 2 , December 1984 , pp. 234 - 244
Copyright
Copyright © University College London 1984

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