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- W1569130183 abstract "We consider C∗-algebras associated with stable and unstable equivalence in hyperbolic dynamical systems known as Smale spaces. These systems include shifts of finite type, in which case these C∗-algebras are both AF-algebras. These algebras have fundamental representations on a single Hilbert space (subject to a choice of periodic points) which have a number of special properties. In particular, the product between any element of the first algebra with one from the second is compact. In addition, there is a single unitary operator which implements actions on both. Here, under the hypothesis that the system is mixing, we show that the (semi-finite) traces on these algebras may be obtained through a limiting process and the usual operator trace." @default.
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- W1569130183 date "2014-09-16" @default.
- W1569130183 modified "2023-09-27" @default.
- W1569130183 title "Trace asymptotics for $C^{ast }$-algebras from Smale spaces" @default.
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- W1569130183 doi "https://doi.org/10.1090/s0002-9939-2014-12221-0" @default.
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