The global Jacquet-Langlands correspondence preserves densities over principal arithmetic groups.
L¨ uck.L2-invariants: theory and applications to geometry andK-theory, volume 44 ofErgebnisse der Mathematik und ihrer Grenzgebiete
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An Arithmetic Invariant of the Jacquet-Langlands correspondence
The global Jacquet-Langlands correspondence preserves densities over principal arithmetic groups.