Smooth K-groups for Monoid Algebras and K-regularity

Hvedri Inassaridze
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Hvedri Inassaridze: Razmadze Mathematical Institute of Tbilisi State University, 6, Tamarashvili Str., Tbilisi 0179, Georgia

Mathematics, 2015, vol. 3, issue 3, 1-6

Abstract: The isomorphism of Karoubi-Villamayor K-groups with smooth K-groups for monoid algebras over quasi stable locally convex algebras is established. We prove that the Quillen K-groups are isomorphic to smooth K-groups for monoid algebras over quasi-stable Frechet algebras having a properly uniformly bounded approximate unit and not necessarily m-convex. Based on these results the K-regularity property for quasi-stable Frechet algebras having a properly uniformly bounded approximate unit is established.

Keywords: smooth K-groups; K-regularity; properly uniformly bounded approximate unit; quasi stable locally convex algebra (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2015
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