Jun Yang

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20242026

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math.RT2026

The Global Jacquet-Langlands Correspondence via Tensor Products

Jun Yang

We prove that the global Jacquet--Langlands correspondence $JL$ for $GL (2)$ can be realized via tensor products over Hecke algebras. Let $G$ be a non-split inner form o…

math.RT2025

The Atiyah-Schmid formula for reductive groups

Jun Yang

We give the generalized Atiyah-Schmid formula for projective tempered representations. Then we prove the Atiyah-Schmid formula for arithmetic subgroups of real reductive groups.

math.RT2024

Von Neumann Dimensions and Trace Formulas II: A Jacquet-Langlands correspondence for Arithmetic Group Algebras in $GL (2)$

Jun Yang

We propose a global Jacquet-Langlands correspondence for the modules over the von Neumann algebras of $S$ -arithmetic subgroups of $GL (2)$ and of a quaternion algebra $D$ , whic…

The Global Jacquet-Langlands Correspondence via Tensor Products

The Atiyah-Schmid formula for reductive groups

Von Neumann Dimensions and Trace Formulas II: A Jacquet-Langlands correspondence for Arithmetic Group Algebras in GL(2)

Von Neumann Dimensions and Trace Formulas II: A Jacquet-Langlands correspondence for Arithmetic Group Algebras in $GL (2)$