A general scheme is introduced for constructing smooth subalgebras of C*-algebras that are closed under the smooth functional calculus for self-adjoint elements.
and McBride, M., Polynomial Bounded Exponentials and Smooth Subalgebras of C∗-algebras, inRepresentations of p-Adic Groups and Noncommutative Geometry, Springer, 2026(exp)
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Rapid Decay Subalgebras of C$^*$-Algebras
A general scheme is introduced for constructing smooth subalgebras of C*-algebras that are closed under the smooth functional calculus for self-adjoint elements.