MMath Research Project Presentation

Tuesday, August 14, 2018 — 2:00 PM EDT

Benjamin Anderson-Sackaney, Department of Pure Mathematics, University of Waterloo

"Fourier-Stieltjes algebras"

In this talk, our goal will be to understand what the Fourier-Stieltjes algebra $B(G)$ is. We will first see the equivalent definitions of $B(G)$. Then we will see some important subspaces of $B(G)$, namely the Fourier algebra and a generalization of this subspace. To conclude, we will look at the functorial properties of $B(G)$ and the celebrated Host's Idempotent. The former studies how continuous group homomorphisms lead to linear contractions between their respective Fourier-Stieltjes algebras and subspaces. The latter characterizes the integer valued functions in $B(G)$ and in particular its idempotents. I will assume basic facts about Banach algebras (specifically $C^*$ algebras and von Neumann algebras), and abelian and compact Harmonic analysis.

MC 5417

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
28
1
2
1. 2019 (37)
1. February (15)
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)