Pierre Clare

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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.RT2026

A Mackey embedding for reduced C*-algebras of real reductive groups

Pierre Clare, Nigel Higson, Angel RomÃ¡n

The purpose of this paper is construct an embedding of the C*-algebra of the Cartan motion group of a real reductive group G into the reduced C*-algebra of G itself. The embedding…

math.RT2026

The Mackey bijection as a stratified equivalence

Alexandre Afgoustidis, Pierre Clare

This paper is about the Mackey analogy between the tempered representation theory of a real reductive group and that of its Cartan motion group. We consider the embedding of reduce…

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

A Mackey embedding for reduced C*-algebras of real reductive groups

The Mackey bijection as a stratified equivalence

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