-Algebras from Groupoids on Self-Similar Groups
Keyword(s):
We show that the Smale spaces from self-similar groups are topologically mixing and their stable algebra and stable Ruelle algebra are strongly Morita equivalent to groupoid algebras of Anantharaman-Delaroche and Deaconu. And we show that associated to a postcritically finite hyperbolic rational function is anAT-algebra of real-rank zero with a unique trace state.
1996 ◽
Vol 139
(2)
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pp. 325-348
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2014 ◽
Vol 14
(3)
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pp. 570-613
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2006 ◽
Vol 134
(10)
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pp. 3015-3024
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Linear orthogonality preservers of Hilbert $C^{*}$-modules over $C^{*}$-algebras with real rank zero
2012 ◽
Vol 140
(9)
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pp. 3151-3160
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1997 ◽
Vol 125
(9)
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pp. 2671-2676
2016 ◽
Vol 86
(3)
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pp. 301-319
2014 ◽
Vol 8
(4)
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pp. 1061-1081
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1996 ◽
Vol 39
(4)
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pp. 429-437
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