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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…
math.RT2025
A Mackey embedding for reduced C*-algebras of real reductive groups
Pierre Clare, Nigel Higson, Angel Román
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.RT2013
C*-algebraic intertwiners for degenerate principal series of special linear groups
Pierre Clare
We construct unitary intertwiners for degenerate C*-algebraic universal principal series of SL(n+1) over a local field by explicitely normalizing standard intertwining integrals a…