3 papers
math.RT2025
Lie groupoids, the Satake compactification and the tempered dual, I: The Satake groupoid
Jacob Bradd, Nigel Higson, Robert Yuncken
The (maximal) Satake compactification associated to a real reductive group is the closure of the symmetric space of all maximal compact subgroups of within the compact spac…
math.RT2025
Lie groupoids, the Satake compactification and the tempered dual, II: The Harish-Chandra principle
Jacob Bradd, Nigel Higson, Robert Yuncken
We give a geometric account of Harish-Chandra's principle that a tempered irreducible representation of a real reductive group is either square-integrable modulo center, or embedda…
math.RT2024
Operator K-Theory and Tempiric Representations
Jacob Bradd, Nigel Higson, Robert Yuncken
David Vogan proved that if is a real reductive group, and if is a maximal compact subgroup of , then every irreducible representation of is included as a minimal …