**CANCELLED**
Zsolt Tanko, Department of Pure Mathematics, University of Waterloo
"Homology of the Fourier algebra"
Let G be a locally compact group and let A(G) denote its Fourier algebra. In 1995 Ruan proved that operator amenability of the Fourier algebra, a homological property, characterizes amenability of the group. We give new characterizations of several amenability properties of a locally compact group in terms of the completely contractive homology of its Fourier algebra. We then focus on the class of quasi-SIN groups and the relation between this condition and relative operator biflatness of A(G). We show that in many cases these two conditions coincide. As a consequence, for these groups we are able to characterize operator amenability of the cb-multiplier completion of A(G) in terms of weak amenability of G in the sense of Cowling and Haagerup. This is joint work with Jason Crann.
MC 5417