An Analogue of the Schur-Weyl Duality for the Automorphism Group of a II1-Factor
Journal of Lie Theory, Volume 34 (2024) no. 3, pp. 611-638
An analogue of the Schur-Weyl duality for the automorphism group of the approximately finite dimensional (AFD) II1-factor is produced.
DOI:
10.5802/jolt.1352
Classification:
46L40, 22E66
Keywords: Finite von Neumann factor, automorphism group of a factor, Schur-Weyl duality
Keywords: Finite von Neumann factor, automorphism group of a factor, Schur-Weyl duality
@article{JOLT_2024_34_3_a6,
author = {N. Nessonov and S. Sinel'shchikov},
title = {An {Analogue} of the {Schur-Weyl} {Duality} for the {Automorphism} {Group} of a {II\protect\textsubscript{1}-Factor}},
journal = {Journal of Lie Theory},
pages = {611--638},
year = {2024},
volume = {34},
number = {3},
doi = {10.5802/jolt.1352},
zbl = {1558.46046},
url = {https://jolt.centre-mersenne.org/articles/10.5802/jolt.1352/}
}
TY - JOUR AU - N. Nessonov AU - S. Sinel'shchikov TI - An Analogue of the Schur-Weyl Duality for the Automorphism Group of a II1-Factor JO - Journal of Lie Theory PY - 2024 SP - 611 EP - 638 VL - 34 IS - 3 UR - https://jolt.centre-mersenne.org/articles/10.5802/jolt.1352/ DO - 10.5802/jolt.1352 ID - JOLT_2024_34_3_a6 ER -
N. Nessonov; S. Sinel'shchikov. An Analogue of the Schur-Weyl Duality for the Automorphism Group of a II1-Factor. Journal of Lie Theory, Volume 34 (2024) no. 3, pp. 611-638. doi: 10.5802/jolt.1352
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