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Banach algebras
associated with spherical representations of the free
group
Ryszard Szwarc |
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Vol. 143 (1990), No. 1, 201–207
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Abstract |
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We prove that any spherical representation of the free group 𝔽 weakly contains the regular representation. Moreover Cπ∗, the C∗-algebra associated with the spherical representation π, is a compact extension of the reduced C∗-algebra of 𝔽. We also show that the standard projection onto radial functions admits extensions to Cπ∗ for a class of representations π of 𝔽 which includes spherical representations, as well as the regular representation and the universal representation. |
Mathematical Subject Classification 2000
Primary: 22D25
Secondary: 20C99, 43A90, 46L45
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Milestones
Received: 8 June 1988
Revised: 5 November 1988
Published: 1 May 1990
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Authors |
| Ryszard Szwarc | |
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