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The cohomology of
higher-dimensional shifts of finite type
Klaus Schmidt |
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Vol. 170 (1995), No. 1, 237–269
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Abstract |
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We discuss the cohomology of higher-dimensional shifts of finite type, and prove the following: if a d-dimensional shift of finite type X has a rich supply of homoclinic points and a certain specification property, then every Hölder cocycle for shift-action of ℤd on X with values in a locally compact, second countable group with a doubly invariant metric is Hölder-cohomologous to a homomorphism. The result is illustrated with a number of examples. |
Mathematical Subject Classification 2000
Primary: 58F03
Secondary: 28D15
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Milestones
Received: 7 December 1992
Published: 1 September 1995
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Authors |
| Klaus Schmidt | |
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