Title of article :
Homological Properties of Banach Modules on Homogeneous Spaces
Author/Authors :
Sattari, M.H Azarbaijan Shahid Madani University , Yousefiazar, V Azarbaijan Shahid Madani University
Abstract :
Let G be a locally compact group and H be a compact
subgroup of G. The aim of this paper is to characterize some homological
properties of L1(G/H), C0(G/H) and M(G/H) as left Banach
L1(G)-modules such as flatness, injectivity and projectivity. Moreover,
we study the projectivity of C0(G/H) and M(G/H) as Banach left
L1(G/H)-modules and M(G)-modules.
Keywords :
projectivity , Banach module , homogeneous spaces , flatness , injectivity , locally compact group
Journal title :
Journal of Mathematical Extension(IJME)
