In the c=1 string theory, finite-region operator algebras are Type III_1, but this encodes infinite-volume boundary structure rather than black hole horizons.
Flux-vacua in two dimensional str ing theory,
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Note on Type $III_1$ Algebras in $ c= 1$ String Theory and Bulk Causal Diamonds
In the c=1 string theory, finite-region operator algebras are Type III_1, but this encodes infinite-volume boundary structure rather than black hole horizons.