Tyrone Crisp

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20242026

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math.RT2026

Reduced C*-algebras and K-theory for reductive $p$ -adic groups

Pierre Clare, Tyrone Crisp

We calculate the $K$ -theory of the reduced $C^{*}$ -algebra $C_{r}^{*} (G)$ of a reductive $p$ -adic group $G$ . To do so, we show that each direct summand in Plymen's Plancherel decompositi…

math.RT2024

Functor morphing and representations of automorphism groups of modules

Tyrone Crisp, Ehud Meir, Uri Onn

We introduce a strategy to study irreducible representations of automorphism groups of finite modules over local rings. We prove that these automorphism groups fit in a hierarchy t…

Reduced C*-algebras and K-theory for reductive p-adic groups

Functor morphing and representations of automorphism groups of modules

Reduced C*-algebras and K-theory for reductive $p$ -adic groups