Central sequences in the factor associated with Thompson’s group F
Annales de l'Institut Fourier, Tome 48 (1998) no. 4, pp. 1093-1106.

Nous montrons que le facteur L(F), de type II 1 engendré par la représentation régulière de F, est isomorphe à son produit tensoriel avec le facteur hyperfini de type II 1 . Cela implique que le groupe unitaire de L(F) est contractile par rapport à la topologie définie par la norme hilbertienne naturelle.

We prove that the type II 1 factor L(F) generated by the regular representation of F is isomorphic to its tensor product with the hyperfinite type II 1 factor. This implies that the unitary group of L(F) is contractible with respect to the topology defined by the natural Hilbertian norm.

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     title = {Central sequences in the factor associated with {Thompson{\textquoteright}s} group $F$},
     journal = {Annales de l'Institut Fourier},
     pages = {1093--1106},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
     volume = {48},
     number = {4},
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     doi = {10.5802/aif.1650},
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Jolissaint, Paul. Central sequences in the factor associated with Thompson’s group $F$. Annales de l'Institut Fourier, Tome 48 (1998) no. 4, pp. 1093-1106. doi : 10.5802/aif.1650. http://www.numdam.org/articles/10.5802/aif.1650/

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