Unbounded Derivations in Algebras Associated with Monothetic Groups
| dc.contributor.author | Klimek, Slawomir | |
| dc.contributor.author | McBride, Matt | |
| dc.contributor.department | Mathematical Sciences, School of Science | en_US |
| dc.date.accessioned | 2022-09-30T20:07:35Z | |
| dc.date.available | 2022-09-30T20:07:35Z | |
| dc.date.issued | 2021-12 | |
| dc.description.abstract | Given an infinite, compact, monothetic group G we study decompositions and structure of unbounded derivations in a crossed product C∗ -algebra C(G)⋊Z obtained from a translation on G by a generator of a dense cyclic subgroup. We also study derivations in a Toeplitz extension of the crossed product and the question whether unbounded derivations can be lifted from one algebra to the other. | en_US |
| dc.eprint.version | Author's manuscript | en_US |
| dc.identifier.citation | Klimek, S., & McBride, M. (2021). Unbounded Derivations in Algebras Associated with Monothetic Groups. Journal of the Australian Mathematical Society, 111(3), 345–371. https://doi.org/10.1017/S144678871900051X | en_US |
| dc.identifier.issn | 1446-7887, 1446-8107 | en_US |
| dc.identifier.uri | https://hdl.handle.net/1805/30158 | |
| dc.language.iso | en_US | en_US |
| dc.publisher | Cambridge | en_US |
| dc.relation.isversionof | 10.1017/S144678871900051X | en_US |
| dc.relation.journal | Journal of the Australian Mathematical Society | en_US |
| dc.rights | Publisher Policy | en_US |
| dc.source | Author | en_US |
| dc.subject | derivations | en_US |
| dc.subject | Mathematics - Operator Algebras | en_US |
| dc.subject | Monothetic groups | en_US |
| dc.subject | operator algebra | en_US |
| dc.title | Unbounded Derivations in Algebras Associated with Monothetic Groups | en_US |
| dc.type | Article | en_US |