Yanli Song

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math.KT2025

Higher Orbital Integrals on Motion Groups and Mackey Deformation

Angel Román, Yanli Song, Xiang Tang

We present an explicit construction of cyclic cocycles on Cartan motion groups, which can be viewed as generalizations of orbital integrals. We show that the higher orbital integra…

math.KT2025

Lefschetz formula for locally symmetric spaces

Yanli Song

Let $G$ be a semi-simple real Lie group of real rank one and $Γ$ be a discrete subgroup in $G$ such that $Γ\ G$ has finite volume. We introduce a new group $C^{*}$ -algebra $…