## Contact Info

Pure MathematicsUniversity of Waterloo

200 University Avenue West

Waterloo, Ontario, Canada

N2L 3G1

Departmental office: MC 5304

Phone: 519 888 4567 x33484

Fax: 519 725 0160

Email: puremath@uwaterloo.ca

Friday, October 12, 2018 — 3:00 PM EDT

****Note room change****

**(Postponed from October 5, 2018)**

**Nico Spronk, Pure Mathematics, University of Waterloo**

"On operator amenability of Fourier-Steiltjes algebras"

Let $G$ be a locally compact group. The Fourier and Fourier-Stieltjes algebras, $A(G)$ and $B(G)$ are dual objects to the group and measure algebras $L^1(G)$ and $M(G)$, respectively, in a manner which generalizes Pontryagin duality. It is now classical that $L^1(G)$ is (operator) amenable exactly when $G$ is amenable, exactly when $A(G)$ is operator amenable. $M(G)$ is (operator) amenable exactly when G is discrete and abelian; hence $B(G)$ ought to be operator amenable exactly when $G$ is compact. This is not true, generally; but is true for connected groups.

MC 5479

University of Waterloo

200 University Avenue West

Waterloo, Ontario, Canada

N2L 3G1

Departmental office: MC 5304

Phone: 519 888 4567 x33484

Fax: 519 725 0160

Email: puremath@uwaterloo.ca

University of Waterloo

University of Waterloo

43.471468

-80.544205

200 University Avenue West

Waterloo,
ON,
Canada
N2L 3G1