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arXiv · 2407.16612

Uniform property $Γ$ and finite dimensional tracial boundaries

Samuel Evington·Christopher Schafhauser
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Abstract

We prove that a C$^*$-algebra $A$ has uniform property $Γ$ if the set of extremal tracial states, $\partial_e T(A)$, is a non-empty compact space of finite covering dimension and for each $τ\in \partial_e T(A)$, the von Neumann algebra $π_τ(A)''$ arising from the GNS representation has property $Γ$.

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Samuel Evington, Christopher Schafhauser. 2024-11-26. Uniform property $Γ$ and finite dimensional tracial boundaries. https://arxiv.org/abs/2407.16612

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