English

Biprojectivity and biflatness for convolution algebras of nuclear operators

Functional Analysis 2007-05-23 v2

Abstract

For a locally compact group G, the convolution product on the space N(L^p(G)) of nuclear operators was defined by Neufang. We study homological properties of the convolution algebra N(L^p(G)) and relate them with some properties of the group G, such as compactness, finiteness, discreteness, and amenability.

Keywords

Cite

@article{arxiv.math/0206233,
  title  = {Biprojectivity and biflatness for convolution algebras of nuclear operators},
  author = {A. Yu. Pirkovskii},
  journal= {arXiv preprint arXiv:math/0206233},
  year   = {2007}
}

Comments

10 pages; references changed, remarks added

R2 v1 2026-07-22T16:46:17.425Z