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Brothier, Arnaud; Jones, Vaughan F. R.

Pythagorean representations of Thompson’s groups. (English) Zbl 1512.22006

J. Funct. Anal. 277, No. 7, 2442-2469 (2019).
Summary: 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.

Cited in 1 Review
Cited in 16 Documents

MSC:

22D25 \(C^*\)-algebras and \(W^*\)-algebras in relation to group representations
20F65 Geometric group theory
20C15 Ordinary representations and characters
46L05 General theory of \(C^*\)-algebras

Keywords:

Thompson group; C*-algebras; representations
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References:

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