2-Positive Almost Order Zero Maps and Decomposition Rank

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We consider 2-positive almost order zero (disjointness preserving) maps on C*-algebras. Generalizing the argument of M. Choi for multiplicative domains, we provide an internal characterization of almost order zero for 2-positive maps. In addition, it is shown that complete positivity can be reduced to 2-positivity in the definition of decomposition rank for unital separable C*-algebras.

Original languageEnglish
Pages (from-to)505-526
Number of pages22
JournalJournal of Operator Theory
Issue number2
Publication statusPublished - Mar 2021
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory


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