Nous montrons que le facteur , de type engendré par la représentation régulière de , est isomorphe à son produit tensoriel avec le facteur hyperfini de type . Cela implique que le groupe unitaire de est contractile par rapport à la topologie définie par la norme hilbertienne naturelle.
We prove that the type factor generated by the regular representation of is isomorphic to its tensor product with the hyperfinite type factor. This implies that the unitary group of is contractible with respect to the topology defined by the natural Hilbertian norm.
@article{AIF_1998__48_4_1093_0,
author = {Jolissaint, Paul},
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},
year = {1998},
doi = {10.5802/aif.1650},
zbl = {0915.46052},
mrnumber = {2000b:46108},
language = {en},
url = {https://aif.centre-mersenne.org/articles/10.5802/aif.1650/}
}
TY - JOUR AU - Jolissaint, Paul TI - Central sequences in the factor associated with Thompson’s group $F$ JO - Annales de l'Institut Fourier PY - 1998 SP - 1093 EP - 1106 VL - 48 IS - 4 PB - Association des Annales de l’institut Fourier UR - https://aif.centre-mersenne.org/articles/10.5802/aif.1650/ DO - 10.5802/aif.1650 LA - en ID - AIF_1998__48_4_1093_0 ER -
%0 Journal Article %A Jolissaint, Paul %T Central sequences in the factor associated with Thompson’s group $F$ %J Annales de l'Institut Fourier %D 1998 %P 1093-1106 %V 48 %N 4 %I Association des Annales de l’institut Fourier %U https://aif.centre-mersenne.org/articles/10.5802/aif.1650/ %R 10.5802/aif.1650 %G en %F AIF_1998__48_4_1093_0
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. https://aif.centre-mersenne.org/articles/10.5802/aif.1650/
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