Biprojectivity and biflatness for convolution algebras of nuclear operators

Abstract

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

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