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A topological group is a group $G$ together with a topology on the elements of $G$ such that the group operation and group inverse function are both continuous (with respect to the topology).

2 votes
2 answers
68 views

An [IN$]_B$ group with a non-normal compact $B$-invariant subgroup

Let $G$ be a locally compact group with the group of topological group automorphisms $Aut(G)$ furnished with the compact-open topology. Let $B$ be a subgroup of $Aut(G)$. We call $G$ an [IN$]_B$ if th …
Mahmood Al's user avatar
0 votes

An [IN$]_B$ group with a non-normal compact $B$-invariant subgroup

Let $F$ be a non commutative finite group and let $\Bbb{Z}$ be the group of integers. By $\prod_{n \in \Bbb{Z}} F$ we mean the compact group of all $(a_n)_{n \in \Bbb{Z}}$, $a_n \in F$ $\forall n \in …
Mahmood Al's user avatar
5 votes
0 answers
119 views

Characterizing Herz-Schur multipliers using coefficient functions of uniformly bounded repre...

Let $G$ be a group and let $c > 1$ be a constant. We denote by $B_c(G)$ the space of all coefficients of the representations of $G$ which are uniformly bounded by $c$; more precisely, a function $f: G …
Mahmood Al's user avatar