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- W1559794766 abstract "Consider a unital C*-algebra A, a von Neumann algebra M, a unital sub-C*-algebra C of A and a unital *-homomorphism $pi$ from C to M. Let u: A --> M be a decomposable map (i.e. a linear combination of completely positive maps) which is a C-bimodule map with respect to $pi$. We show that u is a linear combination of C-bimodule completely positive maps if and only if there exists a projection e in the commutant of $pi(C)$ such that u is valued in eMe and $epi(.)e$ has a completely positive extension A --> eMe." @default.
- W1559794766 created "2016-06-24" @default.
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- W1559794766 date "2014-04-04" @default.
- W1559794766 modified "2023-09-27" @default.
- W1559794766 title "Decomposability of bimodule maps" @default.
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