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math.RT2022
On the Connes-Kasparov isomorphism, I: The reduced C*-algebra of a real reductive group and the K-theory of the tempered dual
Pierre Clare, Nigel Higson, Yanli Song +1
This is the first of two papers dedicated to the computation of the reduced C*-algebra of a connected, linear, real reductive group up to Morita equivalence, and the verification o…
math.RT2017★ 2 cited
A geometric realisation of tempered representations restricted to maximal compact subgroups
Peter Hochs, Yanli Song, Shilin Yu
Let be a connected, linear, real reductive Lie group with compact centre. Let be maximal compact. For a tempered representation of , we realise the restriction $π|…