Surjunctivity and topological rigidity of algebraic dynamical systems
2017 ◽
Vol 39
(3)
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pp. 604-619
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Keyword(s):
Let$X$be a compact metrizable group and let$\unicode[STIX]{x1D6E4}$be a countable group acting on$X$by continuous group automorphisms. We give sufficient conditions under which the dynamical system$(X,\unicode[STIX]{x1D6E4})$is surjunctive, i.e. every injective continuous map$\unicode[STIX]{x1D70F}:X\rightarrow X$commuting with the action of$\unicode[STIX]{x1D6E4}$is surjective.
1990 ◽
Vol 10
(3)
◽
pp. 451-462
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Keyword(s):
2015 ◽
Vol 25
(09)
◽
pp. 1550115
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2005 ◽
Vol 15
(04)
◽
pp. 1485-1491
Keyword(s):
2017 ◽
Vol 28
(01)
◽
pp. 1750008
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2018 ◽
Vol 32
(15)
◽
pp. 1850166
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Keyword(s):