3 papers
math.OA2026
Spaces of UCP maps and subalgebras of von Neumann algebras
Pierre Fima, François Le Maître, Kunal Mukherjee +1
In this paper, we establish that several natural topologies on the space of state-preserving unital completely positive maps coincide and that make it a Polish space. We then focus…
math.OA2024
Operator Algebras of Universal Quantum Homomorphisms
Pierre Fima, Malay Mandal, Issan Patri
Given two unital C*-algebras and , we study, when it exists, the universal unital -algebra generated by the coefficients of a unital -homomorphism…
math.OA2024
Michael's selection theorem and applications to the Maréchal topology
Pierre Fima, François Le Maître, Kunal Mukherjee +1
The Maréchal topology, also called the Effros-Maréchal topology, is a natural topology one can put on the space of all von Neumann subalgebras of a given von Neumann algebra. It is…