Year: 2024
Type: preprint
Abstract: 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 $R$.
Source: arXiv (Cornell University)
Author: Haag, Ulrich
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4403363671