From the 1 of 5 linked papers with an AI index.
5 papers
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…
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…
On free wreath products of classical groups
Pierre Fima, Yigang Qiu
We study the generalized free wreath product of classical groups introduced by the first author and Arthur Troupel. We give an explicit computation of the Haar state and deduce imp…
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…