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arXiv · 2410.00041

Regular Algebraic $K$-theory for groups -- Part I

Ulrich Haag
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Abstract

Regular algebraic $K$-theory for groups is a homology theory for discrete groups closely connected (but different from) group homology. It also gives a version of algebraic $K$-theory for rings by the simple functorial mapping assigning to a ring $R$ the (perfect>) commutator subgroup $E ( R )$ of the infinitedimensional general linear group over $R$.

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Ulrich Haag. 2024-09-27. Regular Algebraic $K$-theory for groups -- Part I. https://arxiv.org/abs/2410.00041

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