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arxiv: 2512.11477 · v2 · pith:T7CXPVXPnew · submitted 2025-12-12 · 🧮 math.OA · math.QA

On free wreath products of classical groups

Pierre Fima , Yigang Qiu This is my paper
classification 🧮 math.OA math.QA
keywords algebraclassicalfreegroupswreatharthurassociatedauthor
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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 important properties of their associated operator algebra: in many cases, the von Neumann algebra is a full type ${\rm II}_1$-factor and the reduced C*-algebra is simple with unique trace.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Representation Category of Free Wreath Product of Classical Groups

    math.QA 2026-04 unverdicted novelty 6.0

    A rigid concrete C*-tensor category is built whose Woronowicz-Tannaka-Krein dual is the free wreath product of classical groups.

  2. Representation Category of Free Wreath Product of Classical Groups

    math.QA 2026-04 unverdicted novelty 6.0

    Constructs a rigid C*-tensor category whose associated compact quantum group via Tannaka-Krein duality is the free wreath product of classical groups.