A C*-diagonal in the Jiang-Su algebra via entangled matrix cones
We construct the Jiang-Su algebra Z as an inductive limit of dimension drop algebras, describing the latter as entangled matrix cones to explicitly define the connecting *-homomorphisms. This construction gives rise to a C*-diagonal in Z 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.
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