I show that quasidiagonality and AF embeddability are equivalent properties for traceless \(\mathrm C^*\)-algebras and are characterised in terms of the primitive ideal space. For nuclear \(\mathrm C^*\)-algebras the same characterisation determines when Connes and Higson’s E-theory can be unsuspended.

中文翻译：

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无痕AF嵌入和未暂停的$$ \ varvec {E} $$ E-理论

我证明了拟对角性和AF可嵌入性是无迹\（\ mathrm C ^ * \）-代数的等价属性，并以原始理想空间为特征。对于核\（\ mathrm C ^ * \）-代数，相同的特征确定何时可以暂停Connes和Higson的E-理论。