Extensions of conditionally completely positive maps between operator systems

5 Jul 2023, 15:40
30m

Speaker

Vsevolod Yashin (MIPT, Steklov Mathematical Institute of RAS, Russian Quantum Center)

Description

In noncommutative probability theory, conditionally completely positive maps arise as the generators of unital completely positive semigroups. We will propose a generalized definition for conditionally completely positive maps between (possibly different) operator systems and in the finite dimensional case we will prove Arveson-type theorem on the extension of conditionally completely positive maps.

Primary author

Vsevolod Yashin (MIPT, Steklov Mathematical Institute of RAS, Russian Quantum Center)

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