Regular Algebraic $K$-Theory for groups -- Part II

Fuente: arXiv
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Autore principale: Haag, Ulrich
Natura: Preprint
Pubblicazione: 2024
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author Haag, Ulrich
author_facet Haag, Ulrich
contents The article gives the second part of the treatise on Regular Algebraic $K$-theory (Sections V & VI) of the author. Regular algebraic $K$-theory for groups is a homology theory for discrete groups closely connected to (but different from) ordinary group homology. It also gives a version of algebraic $K$-theory for rings by the simple functorial mapping assigning to the ring $R$ the (perfect) commutator subgroup $E ( R )$ of the infinitedimensional general linear group over $R$.
format Preprint
id arxiv_https___arxiv_org_abs_2410_07212
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Regular Algebraic $K$-Theory for groups -- Part II
Haag, Ulrich
K-Theory and Homology
20E99
The article gives the second part of the treatise on Regular Algebraic $K$-theory (Sections V & VI) of the author. Regular algebraic $K$-theory for groups is a homology theory for discrete groups closely connected to (but different from) ordinary group homology. It also gives a version of algebraic $K$-theory for rings by the simple functorial mapping assigning to the ring $R$ the (perfect) commutator subgroup $E ( R )$ of the infinitedimensional general linear group over $R$.
title Regular Algebraic $K$-Theory for groups -- Part II
topic K-Theory and Homology
20E99
url https://arxiv.org/abs/2410.07212