Journal of Functional AnalysisVolume 277, Issue 7, 1 October 2019, Pages 2442-2469Pythagorean representations of Thompson's groups☆Author links open overlay panelArnaud Brothier a, Vaughan F.R. Jones bShow moreShareCitehttps://doi.org/10.1016/j.jfa.2019.02.009Get rights and contentUnder an Elsevier user licenseopen archiveAbstractWe introduce the Pythagorean C*-algebras and use the category/functor method to construct unitary representations of Thompson's groups from representations of them. We calculate several examples.Previous article in issueNext article in issueMSC10.03010.04070.050KeywordsThompson's groupC*-algebrasRepresentationsRecommended articlesCited by (0)☆A.B. was partially supported by the European Research Council Advanced Grant 669240 QUEST. V.J. is not supported by an NSF grant.© 2019 Elsevier Inc.