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

Year: 2024

Type: preprint

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 $R$.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2410.00041

Author: Haag, Ulrich

Language: English

Topic: Homotopy and Cohomology in Algebraic Topology

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4403818345

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