# Analysis Seminar

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

### February 2019

S M T W T F S
27
28
29
30
31
1
2
3
4
8
9
10
16
17
18
19
20
21
22
23
24
25
26
27
28
1
2
1. 2019 (35)
1. February (13)
2. January (22)
2. 2018 (219)
1. December (2)
2. November (32)
3. October (27)
4. September (26)
5. August (4)
6. July (9)
7. June (13)
8. May (17)
9. April (13)
10. March (28)
11. February (27)
12. January (21)
3. 2017 (281)
4. 2016 (335)
5. 2015 (209)
6. 2014 (235)
7. 2013 (251)
8. 2012 (135)