Tagged Questions
6
votes
2answers
83 views
Recovering a group from its C*-algebras and group algebra
Let $G$ and $H$ be locally compact groups. Does anyone know the answers to these questions?
Is it true that:
if $C^*(G)$ and $C^*(H)$ are $*$-isomorphic, then $G\cong H$?
if $C_r^*(G)$ and ...
3
votes
0answers
78 views
Necessary and sufficient conditions for $G$ to have $A(G)$ isomorphic to an operator algebra?
Let $G$ be a locally compact group. We denote by $A(G)$ the Fourier algebra of $G$.
An operator algebra is a closed subalgebra of $B(H)$ where $H$ is a Hilbert space.
What are the necessary and ...
7
votes
0answers
227 views
Motivation for abstract harmonic analysis
I am reading Folland's A Course in Abstract Harmonic Analysis and find this book extremely exciting.
However it seems Folland does not give many examples to illustrate the motivation behind much of ...
