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Journal Article

Split injectivity of A-theoretic assembly maps

MPS-Authors
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Winges,  Christoph
Max Planck Institute for Mathematics, Max Planck Society;

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Fulltext (public)

arXiv:1811.11864.pdf
(Preprint), 492KB

Supplementary Material (public)
There is no public supplementary material available
Citation

Bunke, U., Kasprowski, D., & Winges, C. (in press). Split injectivity of A-theoretic assembly maps. International Mathematics Research Notices, Published Online - Print pending. doi:10.1093/imrn/rnz209.


Cite as: http://hdl.handle.net/21.11116/0000-0007-7558-3
Abstract
We construct an equivariant coarse homology theory arising from the algebraic $K$-theory of spherical group rings and use this theory to derive split injectivity results for associated assembly maps. On the way, we prove that the fundamental structural theorems for Waldhausen's algebraic $K$-theory functor carry over to its nonconnective counterpart defined by Blumberg--Gepner--Tabuada.