Publication:
Derivations with values into ideals of a semifinite von Neumann algebra
Derivations with values into ideals of a semifinite von Neumann algebra
dc.contributor.advisor | Sukochev, Fedor | en_US |
dc.contributor.advisor | Dmitriy, Zanin | en_US |
dc.contributor.advisor | Galina, Levitina | en_US |
dc.contributor.author | Huang, Jinghao | en_US |
dc.date.accessioned | 2022-03-23T11:00:16Z | |
dc.date.available | 2022-03-23T11:00:16Z | |
dc.date.issued | 2019 | en_US |
dc.description.abstract | One of the classic problems in operator algebra theory is the question whether every derivation from an algebra N into an N-bimodule J is automatically inner. In the present thesis, we study derivations with values into ideals of a semifinite von Neumann algebra M. Precisely, we characterize the symmetric ideals J of M such that every derivation from an arbitrary C*-subalgebra (resp. von Neumann subalgebra) of M into J is automatically inner. | en_US |
dc.identifier.uri | http://hdl.handle.net/1959.4/63344 | |
dc.language | English | |
dc.language.iso | EN | en_US |
dc.publisher | UNSW, Sydney | en_US |
dc.rights | CC BY-NC-ND 3.0 | en_US |
dc.rights.uri | https://creativecommons.org/licenses/by-nc-nd/3.0/au/ | en_US |
dc.subject.other | Derivations | en_US |
dc.subject.other | Ideals in von Neumann algebras | en_US |
dc.title | Derivations with values into ideals of a semifinite von Neumann algebra | en_US |
dc.type | Thesis | en_US |
dcterms.accessRights | open access | |
dcterms.rightsHolder | Huang, Jinghao | |
dspace.entity.type | Publication | en_US |
unsw.accessRights.uri | https://purl.org/coar/access_right/c_abf2 | |
unsw.identifier.doi | https://doi.org/10.26190/unsworks/21407 | |
unsw.relation.faculty | Science | |
unsw.relation.originalPublicationAffiliation | Huang, Jinghao, Mathematics & Statistics, Faculty of Science, UNSW | en_US |
unsw.relation.originalPublicationAffiliation | Sukochev, Fedor, Mathematics & Statistics, Faculty of Science, UNSW | en_US |
unsw.relation.originalPublicationAffiliation | Dmitriy, Zanin, Mathematics & Statistics, Faculty of Science, UNSW | en_US |
unsw.relation.originalPublicationAffiliation | Galina, Levitina, Mathematics & Statistics, Faculty of Science, UNSW | en_US |
unsw.relation.school | School of Mathematics & Statistics | * |
unsw.thesis.degreetype | PhD Doctorate | en_US |
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