2025/11/19 by Paseka, Jan, Vetterlein, Thomas
Mathematics · #Homotopy and Cohomology in Algebraic Topology #Advanced Operator Algebra Research #Algebraic and Geometric Analysis
paper · doi:10.48550/arxiv.2511.15410
We axiomatise the dagger category of complex Hilbert spaces and bounded linear maps, using exclusively purely categorical conditions. Our axioms are chosen with the aim of an easy interpretability: two of them describe the composition of objecs, two further ones deal with the decomposition of objects, and a final axiom expresses a symmetry property. The categorical reconstruction of complex Hilbert spaces addresses foundational issues in quantum physics. We present a simplified alternative to recent characterisations.