HOMOLOGICAL PROPERTIES OF CERTAIN BANACH MODULES OVER GROUP ALGEBRAS

作者：Bahrami Farid^*; Nasr Isfahani Rasoul; Renani Sima Soltani

来源：Proceedings of the Edinburgh Mathematical Society, 2011, 54: 321-328.

DOI：10.1017/S0013091509000728

• amenability
• Banach module
• flatness
• injectivity
• projectivity
• locally compact group

Homological properties of several Banach left L(1)(G)-modules have been studied by Dales and Polyakov and recently by Ramsden. In this paper, we characterize some homological properties of L(0)(infinity) (G) and L(0)(infinity)(G)* as Banach left L(1)(G)-modules, such as flatness, injectivity and projectivity.

• 出版日期2011-6