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arxiv: 1807.06215 · v1 · pith:NEYD2Y3Mnew · submitted 2018-07-17 · 🧮 math.GR · math.OA· math.RT

Pythagorean representations of Thompson's groups

classification 🧮 math.GR math.OAmath.RT
keywords representationsgroupspythagoreanthompsonalgebrascalculatecategoryconstruct
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We 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.

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Cited by 2 Pith papers

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    Proves irreducibility and mutual inequivalence of Wysiwyg unitary representations of Thompson's groups F and T.