English

K-regularity of locally convex algebras

K-Theory and Homology 2015-05-11 v1

Abstract

The isomorphism of Karoubi-Villamayor K-groups with smooth K-groups for monoid algebras over quasi stable locally convex algebras is established and 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. Based on these results the K-regularity property for quasi-stable Frechet algebras having a properly uniformly bounded approximate unit is established.

Keywords

Cite

@article{arxiv.1505.02011,
  title  = {K-regularity of locally convex algebras},
  author = {Hvedri Inassaridze},
  journal= {arXiv preprint arXiv:1505.02011},
  year   = {2015}
}

Comments

16 pages