The K'- theory of monoid sets

2019/09/01 by Haesemeyer, Christian, Weibel, Charles A.
#06F05 #19D99 #20M32 #FOS: Mathematics #K-Theory and Homology (math.KT)

paper · doi:10.48550/arxiv.1909.00297

Abstract

This paper studies the K-theory of categories of partially cancellative monoid sets, which is better behaved than that of all finitely generated monoid sets. A number of foundational results are proved, making use of the formalism of CGW-categories due to Campbell and Zakharevich, and numerous example computations are provided.

Related

• Localization, monoid sets and K-theory
• Two partial monoid structures on a set
• Enriched Morita theory of monoids in a closed symmetric monoidal category
• Cancellative conjugation semigroups and monoids
• Negative K-theory and Chow group of monoid algebras