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• CommentRowNumber1.
• CommentAuthorUrs
• CommentTimeNov 30th 2017
• (edited Nov 30th 2017)

I have expanded the Idea section at state on a star-algebra and added a bunch of references.

The entry used to be called “state on an operator algebra”, but I renamed it (keeping the redirect) because part of the whole point of the definition is that it makes sense without necessarily having represented the “abstract” star-algebra as a C*-algebra of linear operators.

• CommentRowNumber2.
• CommentAuthorUrs
• CommentTimeDec 3rd 2017
• (edited Dec 3rd 2017)

added a little bit more to state on a star-algebra, cross-linked with pure state

• CommentRowNumber3.
• CommentAuthorUrs
• CommentTimeDec 11th 2017

Started an Examples-section (here) with making explicit the two archetypical examples (classical probability measure as state on measurable functions and element on Hilbert space as state on bounded operators).

• CommentRowNumber4.
• CommentAuthorUrs
• CommentTimeJan 20th 2020
• (edited Jan 20th 2020)

added a sentence at the very beginning, connecting back to quantum probability theory and AQFT