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Constructing a new C*-diagonal in the Jiang-Su algebra

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  • UserLukas Obermeyer (Universität Münster)
  • ClockThursday 03 July 2025, 11:00-11:20
  • HouseExternal.

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TGAW01 - Crossed products and groupoid C*-algebras

Cartan subalgebras and C-diagonals in C-algebras (motivated by Cartans in von Neumann algebras) build a bridge between C-algebras and topological dynamics, which led to striking results regarding the existence of Cartans/C-diagonals in classifiable C-algebras. In particular, this connection was used to construct examples of C-diagonals in the Jiang-Su algebra Z. In this talk, I will give the idea of how to construct a new, tractable C-diagonal in Z using solely C-algebraic techniques. This is based on joint work with Wilhelm Winter.

This talk is part of the Isaac Newton Institute Seminar Series series.

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