amenable subalgebras 1conditional expectations 1topology of operator spaces 1type iii factors 1unital completely positive maps 1von neumann subalgebras 1
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math.OA2026
Spaces of UCP maps and subalgebras of von Neumann algebras
Pierre Fima, François Le Maître, Kunal Mukherjee +1
The paper shows that natural topologies on the space of state‑preserving unital completely positive (UCP) maps coincide, making it a Polish space, and studies the topology of state…
math.OA2024
Complete Metric Approximation Property For Mixed -Deformed Araki-Woods Factors
Panchugopal Bikram, Rajeeb Mohanta, Kunal Krishna Mukherjee
The main result of this paper is to establish the completely metric approximation property (-CMAP) for the mixed -deformed Araki-Woods factors for all symme…
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…