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A C * -diagonal in the Jiang–Su algebra via entangled matrix cones

Year: 2026

Type: article

Abstract: We construct the Jiang–Su algebra [Formula: see text] as an inductive limit of dimension drop algebras, describing the latter as entangled matrix cones to explicitly define the connecting [Formula: see text]-homomorphisms. This construction gives rise to a [Formula: see text]-diagonal in [Formula: see text] with one-dimensional spectrum which is not locally connected. Along the way, we give a new characterisation of normalisers in Cartan pairs in terms of state excision.

Source: International Journal of Mathematics

DOI: 10.1142/s0129167x26500928

Authors: Lukas Obermeyer, Wilhelm Winter

Language: English

Topic: Advanced Operator Algebra Research

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7167624436

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