# Questions tagged [rigidity]

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### Definition of a uniformly bounded dual of a group

The unitary dual of a group $G$ is the set of equivalence classes of irreducible unitary representations of $G$ with the Fell topology. (This topology is defined using convergence of positive definite ...
$\newcommand{\M}{\mathcal{M}}$ $\newcommand{\N}{\mathcal{N}}$ $\newcommand{\R}{\mathbb{R}}$ $\newcommand{\CO}{\text{CO}(#1)}$ $\newcommand{\dist}{\operatorname{dist}}$ $\newcommand{\g}{\mathfrak{g}}... 0answers 141 views ### Rigidity vs Super-rigidity of representations (of Kähler/surface groups) In the literature there are several definitions of "rigidity" (or "super-rigidity") of representations, adapted to the circumastances. I wonder what are the relations between them; I excuse in advance ... 0answers 132 views ### Show that duality functor is anti-monoidal Let$\mathcal{C}$be a right rigid (not strict) monoidal category with associativity constraint$\Phi$. Let$J_{UV}: U^*\otimes V^*\to (V\otimes U)^*$the canonical isomorphism for every objects$U,V\...
Let $T_a:x\mapsto x+a$ be a Diophantine translation on the torus $\mathbb T^d$, $d>1$. Let $h$ be some $C^1$ diffeomorphism of $\mathbb T^d$ such that $$g=h\circ T_a\circ h^{-1}$$ is $C^\infty$. ...