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The Jacquet-Langlands correspondence of von Neumann dimensions over arithmetic groups

Published 28 May 2024 in math.NT and math.RT | (2405.18372v3)

Abstract: We show the local-global compatibility of each local Plancherel measure and the Tamagawa measure under the Jacquet-Langlands correspondence of GL(n). We prove that the global Jacquet-Langlands correspondence preserves von Neumann dimensions over arithmetic groups.

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Authors (1)

  1. Jun Yang 

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