Separable states and positive maps II

Authors

  • Erling Størmer

DOI:

https://doi.org/10.7146/math.scand.a-15114

Abstract

Using the natural duality between linear functionals on tensor products of $C^*$-algebras with the trace class operators on a Hilbert space $H$ and linear maps of the $C^*$-algebra into $B(H)$, we give two characterizations of separability, one relating it to abelianness of the definite set of the map, and one on tensor products of nuclear and UHF $C^*$-algebras.

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Published

2009-12-01

How to Cite

Størmer, E. (2009). Separable states and positive maps II. MATHEMATICA SCANDINAVICA, 105(2), 188–198. https://doi.org/10.7146/math.scand.a-15114

Issue

Section

Articles