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Let $n$ be a positive integer. A $C^{\ast }$ -algebra is said to be $n$ -subhomogeneous if all its irreducible representations have dimension at most $n$ . We give various approximation properties characterising $n$ -subhomogeneous $C^{\ast }$ -algebras.

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The first author was supported by a Polish National Science Centre grant under the contract number DEC2012/06/A/ST1/00256 and by the grant H2020-MSCA-RISE-2015-691246-QUANTUM DYNAMICS. The second author was supported by Mongolian Science and Technology Foundation grants SSA-012/2016 and ShuSs-2017/76.

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Bulletin of the Australian Mathematical Society
  • ISSN: 0004-9727
  • EISSN: 1755-1633
  • URL: /core/journals/bulletin-of-the-australian-mathematical-society
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