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- W2963359218 abstract "We consider a family of higher-dimensional non-commutative tori, which are twisted analogues of the algebras of continuous functions on ordinary tori and their Toeplitz extensions. Just as solenoids are inverse limits of tori, our Toeplitz non-commutative solenoids are direct limits of the Toeplitz extensions of non-commutative tori. We consider natural dynamics on these Toeplitz algebras, and we compute the equilibrium states for these dynamics. We find a large simplex of equilibrium states at each positive inverse temperature, parametrized by the probability measures on an (ordinary) solenoid." @default.
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- W2963359218 date "2019-04-17" @default.
- W2963359218 modified "2023-10-03" @default.
- W2963359218 title "Equilibrium states on higher-rank Toeplitz non-commutative solenoids" @default.
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- W2963359218 doi "https://doi.org/10.1017/etds.2019.20" @default.
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