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Equivariant Maps and Purely Atomic Spectrum

✍ Scribed by A. Iozzi

Publisher
Elsevier Science
Year
1994
Tongue
English
Weight
764 KB
Volume
124
Category
Article
ISSN
0022-1236

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✦ Synopsis

Let (G) be a connected semisimple Lie group with no compact factors and finite center and (\Gamma \subset G) an irreducible lattice. If (\left(X_{1}, \mu_{1}\right)) and ( (X_{2}, \mu_{2}) ) are (G)-spaces with finite invariant measures and the action of (G) has purely atomic spectrum (and is essentially free or essentially transitive) we prove that every measure preserving (\Gamma)-map (\varphi: X_{1} \rightarrow X_{2}) is also a (G)-map. 1994 Academic Press, Inc.

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