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Regular Algebraic K-theory for groups -- Part I

2024/09/27 by Ulrich Haag, Haag, Ulrich
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Advanced Algebra and Geometry #Algebraic Geometry and Number Theory

paper · pdf · doi:10.48550/arxiv.2410.00041

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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