THE NUCLEAR DIMENSION OF C ∗-ALGEBRAS

@inproceedings{Zacharias2009THEND,
  title={THE NUCLEAR DIMENSION OF C ∗-ALGEBRAS},
  author={Johanna Zacharias},
  year={2009}
}
We introduce the nuclear dimension of a C-algebra; this is a noncommutative version of topological covering dimension based on a modification of the earlier concept of decomposition rank. Our notion behaves well with respect to inductive limits, tensor products, hereditary subalgebras (hence ideals), quotients, and even extensions. It can be computed for many examples; in particular, it is finite for all UCT Kirchberg algebras. In fact, all classes of nuclear C-algebras which have so far been… CONTINUE READING

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