2024/09/26 by Ulrich Haag, Haag, Ulrich
Mathematics · #20E99 #Advanced Algebra and Geometry #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT)
paper · pdf · doi:10.48550/arxiv.2410.07212
openalex publication_date 2024/09/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.