Double relative commutants in coronas of separable C*-algebras
Glasgow mathematical journal, Tome 65 (2023) no. 2, pp. 345-355
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We prove a double commutant theorem for separable subalgebras of a wide class of corona C*-algebras, largely resolving a problem posed by Pedersen in 1988. Double commutant theorems originated with von Neumann, whose seminal result evolved into an entire field now called von Neumann algebra theory. Voiculescu later proved a C*-algebraic double commutant theorem for subalgebras of the Calkin algebra. We prove a similar result for subalgebras of a much more general class of so-called corona C*-algebras.
Kučerovský, Dan; Mathieu, Martin. Double relative commutants in coronas of separable C*-algebras. Glasgow mathematical journal, Tome 65 (2023) no. 2, pp. 345-355. doi: 10.1017/S0017089522000374
@article{10_1017_S0017089522000374,
author = {Ku\v{c}erovsk\'y, Dan and Mathieu, Martin},
title = {Double relative commutants in coronas of separable {C*-algebras}},
journal = {Glasgow mathematical journal},
pages = {345--355},
year = {2023},
volume = {65},
number = {2},
doi = {10.1017/S0017089522000374},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089522000374/}
}
TY - JOUR AU - Kučerovský, Dan AU - Mathieu, Martin TI - Double relative commutants in coronas of separable C*-algebras JO - Glasgow mathematical journal PY - 2023 SP - 345 EP - 355 VL - 65 IS - 2 UR - http://geodesic.mathdoc.fr/articles/10.1017/S0017089522000374/ DO - 10.1017/S0017089522000374 ID - 10_1017_S0017089522000374 ER -
%0 Journal Article %A Kučerovský, Dan %A Mathieu, Martin %T Double relative commutants in coronas of separable C*-algebras %J Glasgow mathematical journal %D 2023 %P 345-355 %V 65 %N 2 %U http://geodesic.mathdoc.fr/articles/10.1017/S0017089522000374/ %R 10.1017/S0017089522000374 %F 10_1017_S0017089522000374
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