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math.OA2026
Uniformly recurrent subalgebras in finite von Neumann algebras
Tattwamasi Amrutam, Pierre Fima, Yongle Jiang
We introduce the notion of a uniformly recurrent subalgebra (URA) for a trace-preserving action of a countable discrete group on a finite von Neumann algebra , providing an…
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…