Mathematics – Functional Analysis
Scientific paper
2009-07-06
Mathematics
Functional Analysis
Scientific paper
In this paper we will study the projetivity of various natural modules associated to operator Segal algebras of the Fourier algebra of a locally compact group. In particular, we will focus on the question of identifying when such modules will be projective in the category of operator spaces. Projectivity often implies that the underlying group is discrete or even finite. We will also look at the projectivity for modules of $A_{cb}(G)$, the closure of $A(G)$ in the space of its completely bounded mutipliers. Here we give an evidence to show that weak amenability of $G$ plays an important role.
Forrest Brian E.
Lee Hun Hee
Samei Ebrahim
No associations
LandOfFree
Projectivity of modules over Segal algebras does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Projectivity of modules over Segal algebras, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Projectivity of modules over Segal algebras will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-27722