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- W2775060087 abstract "Recent results of Laca, Raeburn, Ramagge and Whittaker show that any self-similar action of a groupoid on a graph determines a 1-parameter family of self-mappings of the trace space of the groupoid C ⁎ -algebra. We investigate the fixed points for these self-mappings, under the same hypotheses that Laca et al. used to prove that the C ⁎ -algebra of the self-similar action admits a unique KMS state. We prove that for any value of the parameter, the associated self-mapping admits a unique fixed point, which is a universal attractor. This fixed point is precisely the trace that extends to a KMS state on the C ⁎ -algebra of the self-similar action." @default.
- W2775060087 created "2017-12-22" @default.
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- W2775060087 date "2018-10-01" @default.
- W2775060087 modified "2023-10-13" @default.
- W2775060087 title "Preferred traces on C⁎-algebras of self-similar groupoids arising as fixed points" @default.
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- W2775060087 doi "https://doi.org/10.1016/j.jmaa.2018.06.019" @default.
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