Split Injectivity of A-Theoretic Assembly Maps

Bunke, Ulrich and Kasprowski, Daniel and Winges, Christoph (2021) Split Injectivity of A-Theoretic Assembly Maps. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2021 (2). pp. 885-947. ISSN 1073-7928, 1687-0247

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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.

Item Type: Article
Subjects: 500 Science > 510 Mathematics
Divisions: Mathematics > Prof. Dr. Ulrich Bunke
Depositing User: Dr. Gernot Deinzer
Date Deposited: 26 Aug 2022 06:58
Last Modified: 26 Aug 2022 06:58
URI: https://pred.uni-regensburg.de/id/eprint/47072

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