Abstract
Alternative characterisations of nuclear dimension and decomposition rank in terms of finite dimensional subalgebras and approximate partitions of unity are given for C*-algebras with real rank zero. These characterisations aid the understanding of the two concepts, as well as the difference between them, and lead to elementary proofs of known, important results.
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Watson, N. Intrinsic Covering Dimension for Nuclear C*-Algebras with Real Rank Zero. Integr. Equ. Oper. Theory 86, 301–319 (2016). https://doi.org/10.1007/s00020-016-2324-z
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DOI: https://doi.org/10.1007/s00020-016-2324-z