# Topological properties of spaces of projective unitary representations

@article{Espinoza2015TopologicalPO, title={Topological properties of spaces of projective unitary representations}, author={Jesus F. Espinoza and Bernardo Uribe}, journal={arXiv: Algebraic Topology}, year={2015} }

Let $G$ be a compact and connected Lie group and $PU(\mathcal H)$ be the group of projective unitary operators on a separable Hilbert space $\mathcal H$ endowed with the strong operator topology. We study the space $hom_{st}(G, PU(\mathcal H))$ of continuous homomorphisms from $G$ to $PU(\mathcal H)$ which are stable, namely the homomorphisms whose induced representation contains each irreducible representation an infinitely number of times. We show that the connected components of $hom_{st}(G… Expand

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