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Analysis of the Plancherel weight and factoriality of the group von Neumann algebras of non-unimodular totally disconnected groups
Yuki Miyamoto
https://arxiv.org/abs/2505.21253

Analysis of the Plancherel weight and factoriality of the group von Neumann algebras of non-unimodular totally disconnected groups
Let $G$ be a locally compact group, $L(G)$ be its group von Neumann algebra equipped with the Plancherel weight $φ_G$. In this paper, we consider the following two questions. (1) When is the restriction of $φ_G$ to the subalgebra generated by a closed subgroup $H$ semifinite? If so, is it equal (up to a constant) to $φ_H$? (2) When is $L(G)$ a factor? We give a complete answer to (1), and when $G$ is second countable, totally disconnected and admits a sufficiently large non-unimodular part, …

This https://arxiv.org/abs/2412.20515 has been replaced.
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Entanglement as a topological marker in harmonically confined attractive Fermi-Hubbard chains
We investigate the single-site von Neumann entropy along a harmonically confined superfluid chain, as described by the one-dimensional fermionic Hubbard model with strongly attractive interactions. We find that by increasing the confinement (or equivalently the particle filling) the system undergoes a quantum phase transition from a superfluid (SF) to a non-trivial topological insulator (TI) phase, which is characterized by an insulating bulk surrounded by highly entangled superfluid edges. The…