Abstract
We develop the viewpoint that [Formula: see text], the opposite of the category of [Formula: see text]-algebras and unital normal ∗-homomorphisms, is analogous to the category of sets and functions. For each pair of [Formula: see text]-algebras [Formula: see text] and [Formula: see text], we construct their free exponential [Formula: see text], which in the context of this analogy corresponds to the collection of functions from [Formula: see text] to [Formula: see text]. We also show that every unital normal completely positive map [Formula: see text] arises naturally from a normal state on [Formula: see text].
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
