Abstract
Given a ring R, it is known that the topological space BGl(R)+ is an infinite loop space. One way to construct an infinite loop structure is to consider the category F of free R-modules, or rather its classifying space BF, as food for suitable infinite loop space machines. These machines produce connective spectra whose zeroth space is (BF)+ = ZXBG1(R)+. In this paper we consider categories C o(F) = F, C 1(F),... of parametrized free modules and bounded homomorphisms and show that the spaces (BC o)+ = (BF)+, (BC 1)+,... are the connected components of a nonconnective ω-spectrum BC(F) with π iBC(F) = Ki(R) even for negative i.
Partially supported by an NSF/grant
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© 1985 Springer-Verlag
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Pedersen, E.K., Weibel, C.A. (1985). A nonconnective delooping of algebraic K-theory. In: Ranicki, A., Levitt, N., Quinn, F. (eds) Algebraic and Geometric Topology. Lecture Notes in Mathematics, vol 1126. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074443
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DOI: https://doi.org/10.1007/BFb0074443
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