The generator rank of C⁎-algebras

@article{Thiel2012TheGR,
  title={The generator rank of C⁎-algebras},
  author={Hannes Thiel},
  journal={arXiv: Operator Algebras},
  year={2012}
}
  • Hannes Thiel
  • Published 24 October 2012
  • Mathematics
  • arXiv: Operator Algebras
The generator rank of subhomogeneous C*-algebras
We compute the generator rank of a subhomgeneous C*-algebra in terms of the covering dimension of the pieces of its primitive ideal space corresponding to irreducible representations of a fixed
Games on AF-algebras
. We analyze C ∗ -algebras, particularly AF-algebras, and their K 0 -groups in the context of the infinitary logic L ω 1 ω . Given two separable unital AF-algebras A and B , and considering their K 0
Generators in $\mathcal{Z}$-stable C*-algebras of real rank zero.
We show that every separable C*-algebra of real rank zero that tensorially absorbs the Jiang-Su algebra contains a dense set of generators. It follows that in every classifiable, simple, nuclear
Large Irredundant Sets in Operator Algebras
Abstract A subset ${\mathcal{X}}$ of a C*-algebra ${\mathcal{A}}$ is called irredundant if no $A\in {\mathcal{X}}$ belongs to the C*-subalgebra of ${\mathcal{A}}$ generated by ${\mathcal{X}}\setminus

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  • Hannes Thiel
  • Mathematics
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