A twisted Bass-Heller-Swan decomposition for the algebraic K-theory of additive categories
Wolfgang Lueck, Wolfgang Steimle
TL;DR
This paper establishes a new twisted Bass-Heller-Swan decomposition for both connective and non-connective algebraic K-theory spectra of additive categories, advancing the understanding of their structural properties.
Contribution
It introduces a novel twisted decomposition for algebraic K-theory spectra of additive categories, extending classical results to a broader context.
Findings
Proved a twisted Bass-Heller-Swan decomposition for connective K-theory.
Extended the decomposition to non-connective K-theory spectra.
Enhanced the theoretical framework for algebraic K-theory of additive categories.
Abstract
We prove a twisted Bass-Heller-Swan decomposition for both the connective and the non-connective K-theory spectrum of additive categories.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Advanced Topics in Algebra