Mathematics – K-Theory and Homology
Scientific paper
2007-03-15
Algebraic & Geometric Topology 7 (2007) 2239-2270
Mathematics
K-Theory and Homology
32 pages, 1 figure. This is the final version, to appear in Alg. Geom. Topol. The title has changed, and the paper has been su
Scientific paper
10.2140/agt.2007.7.2239
Associated to a discrete group $G$, one has the topological category of finite dimensional (unitary) $G$-representations and (unitary) isomorphisms. Block sums provide this category with a permutative structure, and the associated $K$-theory spectrum is Carlsson's deformation $K$-theory $\K(G)$. The goal of this paper is to examine the behavior of this functor on free products. Our main theorem shows the square of spectra associated to $G*H$ (considered as an amalgamated product over the trivial group) is homotopy cartesian. The proof uses a general result regarding group completions of homotopy commutative topological monoids, which may be of some independent interest.
No associations
LandOfFree
Excision for deformation K-theory of free products does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Excision for deformation K-theory of free products, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Excision for deformation K-theory of free products will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-364140