The many faces of higher Hilbert spaces

Giovanni Ferrer, Lukas Müller, David Penneys +1

Finite-dimensional operator algebras can be viewed as ${\mathrm{C}}^{\ast }$, ${\mathrm{W}}^{\ast }$, or ${\mathrm{H}}^{\ast }$-algebras, leading to different notions for their categories of modules and c…