Unbounded gaps for cocycles and invariant measures for their Mackey actions
Unbounded gaps for cocycles and invariant measures for their Mackey actions
We show that for a class of type <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="normal upper I normal upper I normal upper I Subscript 0"> <mml:semantics> <mml:msub> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mi mathvariant="normal">I</mml:mi> <mml:mi mathvariant="normal">I</mml:mi> <mml:mi mathvariant="normal">I</mml:mi> </mml:mrow> <mml:mn>0</mml:mn> </mml:msub> <mml:annotation encoding="application/x-tex">\mathrm {III}_0</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-cocycles over a <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="double-struck upper …