Biprojectivity and biflatness for convolution algebras of nuclear operators

2002/06/22 by A. Yu. Pirkovskii, Pirkovskii, A. Yu.
Mathematics · #16E65 #43A20 #46H25 #46M10 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Functional Analysis (math.FA) #math.FA #msc:16E65 #msc:43A20 #msc:46H25 #msc:46M10

paper · pdf · doi:10.48550/arxiv.math/0206233

10 pages; references changed, remarks added

openalex publication_date 2002/06/22 · arxiv created 2002/10/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Related

• Sofic groups and convolution operators
• The weak type (1,p) for convolution operators on locally compact groups
• An Algebra Containing the Two-Sided Convolution Operators
• K-theory of group Banach algebras and Banach property RD
• Isomorphisms of Algebras of Convolution Operators