Alan Carey, in a series of papers in the 1970s with Angas Hurst and his group, investigated C*-algebras of quantum field theories. This talk will describe some related algebras, and make a link with Carey's implementability theorem for quasi-free representations.
Links:
[1] https://www.mpim-bonn.mpg.de/taxonomy/term/39
[2] https://www.mpim-bonn.mpg.de/node/3444
[3] https://www.mpim-bonn.mpg.de/node/111