Split Injectivity of A-Theoretic Assembly Maps-Reference-Cited by-同舟云学术

Split Injectivity of A-Theoretic Assembly Maps

Published:2019-10-21 Issue:2 Volume:2021 Page:885-947
ISSN:1073-7928
Container-title:International Mathematics Research Notices
language:en
Short-container-title:

Author:

Bunke Ulrich¹,Kasprowski Daniel²,Winges Christoph²

Affiliation:

1. Fakultät für Mathematik, Universität Regensburg, 93040 Regensburg, Germany

2. Rheinische Friedrich-Wilhelms-Universität Bonn, Mathematisches Institut, Endenicher Allee 60, 53115 Bonn, Germany

Abstract

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.

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Link

http://academic.oup.com/imrn/article-pdf/2021/2/885/35885683/rnz209.pdf

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