On a two-sided guionnet–jones–shlyakhtenko construction and interpolated free group factors arising from finite groups

HIGHLIGHTS

• What: The authors formulate a two-sided Guionnet-Jones-Shlyakhtenko-like construction for a subfactor planar algebra P to define two sequences of tracial unital associative algebras which the authors show are isomorphic and on completing which the authors obtain a sequence M k of von Neumann algebras. Both are equipped with traces and the authors show that the trace on AkF is positive. In Sect 4, the authors show boundedness of the left-regular representation of AkF and define the von Neumann algebras M k. Section 5 analyses the algebra A1G when P is a group . . .
  

   

  

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