Homomorphisms of ergodic group actions and conjugacy of skew product actions
Let G be a locally compact group acting ergodically on X. We discuss relationships between homomorphisms on the measured groupoid X×G, conjugacy of skew product extensions, and similarity of measured groupoids. To do this, we describe the structure of homomorphisms on X×G whose restriction to an e...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1996-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171296001081 |
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| Summary: | Let G be a locally compact group acting ergodically on X. We discuss relationships
between homomorphisms on the measured groupoid X×G, conjugacy of skew product extensions,
and similarity of measured groupoids. To do this, we describe
the structure of homomorphisms on
X×G
whose restriction to an extension given by
a skew product action is the trivial homomorphism. |
|---|---|
| ISSN: | 0161-1712 1687-0425 |