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Comparing Assembly Maps in Algebraic K-Theory

Published online by Cambridge University Press:  05 February 2010

Ron Sperber
Ron Sperber
Affiliation:
Keuka College, Keuka Park, NY 14478, USA, rsperber@keuka.edu
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Abstract

Given a group G and a ring R, Loday [Lod, 1976] described an assembly map αG : hn(BG;L(R)) → Kn(RG) where L(R) is a spectrum with nth space K0(SnR) × BGL(SnR)+ for n ≥ 0 and Kn(RG) = πn(BGL(RG)+ × K0(RG)). Hambleton and Pederson, [HP, 2004], indicate a proof that this map is isomorphic to the map on homotopy groups from the assembly map . We will complete the proof of this.

Keywords

K-Theory spectraassembly mapspairings of spectra

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Type
Research Article
Information
Journal of K-Theory , Volume 7 , Issue 1 , February 2011 , pp. 145 - 168
Copyright
Copyright © ISOPP 2010

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References

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