On group 𝐶*-algebras of bounded representation dimension

Raeburn, Iain

doi:10.1090/S0002-9947-1982-0662057-6

On group $C^{\ast }$-algebras of bounded representation dimension
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Trans. Amer. Math. Soc. 272 (1982), 629-644 Request permission

Abstract:

We consider the structure of group $C^{\ast }$-algebras whose irreducible representations have bounded dimension. We give some general results, including a description of the topology on the spectrum, and then calculate explicitly the $C^{\ast }$-algebras of two specific groups, one of them a nonsymmorphic space group.

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