Minimality and unique ergodicity for subgroup actions
In the paper the following theorem is proved: Let \(G\) be a reductive algebraic \(R\)-group with compact center and let \(H\) be an \(R\)-subgroup of \(G\). Let \(H\) and \(G\) denote \(H^0_R\) and \(G^0_R\) , respectively, and let \(\Gamma\) be a lattice in \(G\). If the action of \(H\) on \(G/\Gamma\) is minimal then it is uniquely ergodic.
scientific article; zbMATH DE number 1227221