97 citations · 113 across the 22 of their papers we have counts for
21 papers · 1 filter
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…
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…
Free wreath products by finite group duals
Pierre Fima, Yigang Qiu
Let be a compact quantum group and let be a finite group. We study , a natural family parallel to Bichon's fr…
Generalized free wreath products and their operator algebras
Pierre Fima, Arthur Troupel
We develop a new approach on free wreath products, generalizing the constructions of Bichon and of Fima-Pittau. We show stability properties for certain approximation properties su…
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…
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…