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Mathematics 2015, 3(3), 891-896; https://doi.org/10.3390/math3030891

Smooth K-groups for Monoid Algebras and K-regularity

Razmadze Mathematical Institute of Tbilisi State University, 6, Tamarashvili Str., Tbilisi 0179, Georgia
Academic Editor: Jasper Stokman
Received: 26 June 2015 / Revised: 27 August 2015 / Accepted: 27 August 2015 / Published: 10 September 2015
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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. View Full-Text
Keywords: smooth K-groups; K-regularity; properly uniformly bounded approximate unit; quasi stable locally convex algebra smooth K-groups; K-regularity; properly uniformly bounded approximate unit; quasi stable locally convex algebra
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Inassaridze, H. Smooth K-groups for Monoid Algebras and K-regularity. Mathematics 2015, 3, 891-896.

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