97 citations · 113 across the 22 of their papers we have counts for
28 papers
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…