On the study of ZM(G)‎ the central measure algebra of a connected lie group

الملخص EN

In this paper we reduce the study of connected Lie groups to the study of connected Lie groups with no compact normal semisimple subgroups.

We also reduce the study of ZM(G) to the study of ZGM(B(G)), the algebra of G-invariant bounded measures on the given characteristics subgroup fl(G) of C Finally, B(G) (1) -> Tk -» B(G) -» Rm x D -» (1) Where T is the unit circle in the complex plane and D is a discrete finitely generated abelian group