Excision in deformation K-theory
Year: 2007
Type: preprint
Abstract: . 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 Kdef(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.
Source: arXiv (Cornell University)
Author: Daniel A. Ramras
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2549119439