Harish-chandra’s Schwartz Algebras Associated with Discrete Subgroups of Semisimple Lie Groups
نویسنده
چکیده
We prove that the Harish-Chandra’s Schwartz space associated with a discrete subgroup of a semisimple Lie group is a dense subalgebra of the reduced C∗-algebra of the discrete subgroup. Then, we prove that the reduced C∗-norm is controlled by the norm of the Harish-Chandra’s Schwartz space. This inequality is weaker than property RD and holds for any discrete group acting isometrically, properly on a Riemannian symmetric space.
منابع مشابه
Correction to Abstract Class Formations by K. Grant and G. Whaples
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