2-Positive Almost Order Zero Maps and Decomposition Rank

Yasuhiko Sato

doi:10.7900/jot.2019nov21.2290

2-Positive Almost Order Zero Maps and Decomposition Rank

Yasuhiko Sato

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

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 language	English
Pages (from-to)	505-526
Number of pages	22
Journal	Journal of Operator Theory
Volume	85
Issue number	2
DOIs	https://doi.org/10.7900/jot.2019nov21.2290
Publication status	Published - Mar 2021
Externally published	Yes

All Science Journal Classification (ASJC) codes

Algebra and Number Theory

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10.7900/jot.2019nov21.2290

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abstract = "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.",

author = "Yasuhiko Sato",

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N2 - 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.

AB - 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.

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UR - https://www.scopus.com/pages/publications/85105080927#tab=citedBy

U2 - 10.7900/jot.2019nov21.2290

DO - 10.7900/jot.2019nov21.2290

M3 - Article

AN - SCOPUS:85105080927

SN - 0379-4024

VL - 85

SP - 505

EP - 526

JO - Journal of Operator Theory

JF - Journal of Operator Theory

IS - 2

ER -

2-Positive Almost Order Zero Maps and Decomposition Rank

Abstract

All Science Journal Classification (ASJC) codes

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