Classification of Thompson Related Groups Arising from Jones Technology I

Abstract In the quest in constructing conformal field theories (CFTs), Jones has discovered a beautiful and deep connection between CFT, Richard Thompson’s groups, knot theory. This led to powerful functorial framework for actions of particular groups arising from categories such as braid groups. particular, given group two its endomorphisms one can construct semidirect product where largest $V$ is acting. These products have remarkable diagrammatic descriptions that were previously used provide new examples having Haagerup property. They naturally appear certain being generated by local global symmetries. Moreover, these occur construction Tanushevski be realised using Brin–Zappa–Szep’s with technology cloning systems Witzel Zaremsky. We consider this article class obtained way endomorphism trivial leaving case nontrivial 2nd article. an explicit description all permutational restricted twisted wreath acting twist depends on chosen. classify up isomorphisms thin their automorphism thanks unexpected rigidity phenomena.