Unique Disintegration of Arbitraty Positive Definite Functions on *-divisible Semigroups.
Unitary closure and Fourier algebra of a topological group
This is a sequel to our recent work (2012) on the Fourier-Stieltjes algebra B(G) of a topological group G. We introduce the unitary closure G̅ of G and use it to study the Fourier algebra A(G) of G. We also study operator amenability and fixed point property as well as other related geometric properties for A(G).