The generator rank of subhomogeneous -algebras
نویسندگان
چکیده
Abstract We compute the generator rank of a subhomogeneous $C^*\!$ -algebra in terms covering dimension pieces its primitive ideal space corresponding to irreducible representations fixed dimension. deduce that every $\mathcal {Z}$ -stable approximately algebra has one, which means generic element such an is generator. This leads strong solution problem for classifiable, simple, nuclear -algebras: each Examples Villadsen show this not case all separable, -algebras.
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ژورنال
عنوان ژورنال: Canadian Journal of Mathematics
سال: 2022
ISSN: ['1496-4279', '0008-414X']
DOI: https://doi.org/10.4153/s0008414x22000268