[Papers]
[Alex Furman]

Rigidity of group actions on homogeneous spaces, III

*
Consider homogeneous G/H and G/F,*

for an S-algebraic group G.

A lattice L acts on the left

strictly conservatively.

The following rigidity results are obtained:

morphisms, factors and joinings defined apriori

only in the measurable category

are in fact algebraically constrained.

Arguing in an elementary fashion

we manage to classify

all the measurable maps

commuting with the L-action:

assuming ergodicity, we find

they are algebraically defined.

Authors:
U. Bader,
A. Furman,
A. Gorodnik,
B. Weiss

Bibliographical:
Duke Math. J., **164** vol 1, 115 - 155.

Download: pdf | arxiv:1201.5367

#### Corrections and comments

This work extends and improves most of the results from
*Rigidity of group actions on infinite volume homogeneous spaces, II*
using a different approach.

[Papers]
[Alex Furman]