Showing 2024Show all
2 papers · 1 filter
math.NT2024
An Arithmetic Invariant of the Jacquet-Langlands correspondence
Jun Yang
We describe the local-global compatibility of local Plancherel measures and the Tamagawa measure under the Jacquet-Langlands correspondence. We apply the notion of densities of mod…
math.RT2024
Von Neumann Dimensions and Trace Formulas II: A Jacquet-Langlands correspondence for Arithmetic Group Algebras in
Jun Yang
We propose a global Jacquet-Langlands correspondence for the modules over the von Neumann algebras of -arithmetic subgroups of and of a quaternion algebra , whic…