Quantum Readable sources for C*-algebras and GNS construction?

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A discussion on finding accessible resources for understanding C*-algebras and the GNS construction emphasizes the need for texts that balance formalism with readability, particularly for physicists. The main reference suggested is O. Bratteli's "Operator Algebras and Quantum Statistical Mechanics," though concerns are raised about its length and the placement of relevant quantum mechanics content in the second volume. Additionally, a shorter article titled "Some Aspects of Operator Algebras in Quantum Physics" is recommended as a more digestible alternative for those seeking to grasp the concepts without extensive mathematical prerequisites.
andresB
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It is there a gentle introduction to C*-algebras and the GNS construction that is readable for physicists? You know, a text with an emphasis on QM that is formal enough to not be sloppy but not too much as to require a Ph.D in functional analysis to be read.
 
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Just in case anyone was wondering, It seems the principal reference are the two tomes O. Bratteli, Operator Algebras and Quantum Statistical Mechanics. The problem with it is that the physics is in vol 2, so I'd have to navigate through 500 pages of abstract math just to reach some QM.

I also found an interesting article, and a much shorter read, from a professor I had in grad school

Some Aspects of Operator Algebras in Quantum Physics​

https://arxiv.org/abs/1612.07718
 

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