3 papers
math.OA2025
Spectral Theory for Non-full Commutative C*-categories
Paolo Bertozzini, Roberto Conti, Wicharn Lewkeeratiyutkul +1
We extend the spectral theory of commutative C*-categories to the non full-case, introducing a suitable notion of spectral spaceoid provinding a duality between a category of "non-…
math.OA2025
On Strict Higher C*-categories
Paolo Bertozzini, Roberto Conti, Wicharn Lewkeeratiyutkul +1
We provide definitions for strict involutive higher categories (a vertical categorification of dagger categories), strict higher C*-categories and higher Fell bundles (over arbitra…
math.CT2025
Involutive Weak Cubical -categories
Paratat Bejrakarbum, Paolo Bertozzini, Supaporn Theesoongnern
We investigate the notion of involutive weak cubical -categories via Penon's approach: as algebras for the monad induced by the free involutive strict -category functor on…