dc.date.accessioned | 2017-04-05T14:32:18Z | |
dc.date.available | 2017-04-05T14:32:18Z | |
dc.date.created | 2016-08-30T16:34:32Z | |
dc.date.issued | 2016 | |
dc.identifier.citation | Brownlowe, Nathan Larsen, Nadia S. Stammeier, Nicolai . On C*-algebras associated to right LCM semigroups. Transactions of the American Mathematical Society. 2016 | |
dc.identifier.uri | http://hdl.handle.net/10852/55158 | |
dc.description.abstract | We initiate the study of the internal structure of C*-algebras associated to a left cancellative semigroup in which any two principal right ideals are either disjoint or intersect in another principal right ideal; these are variously called right LCM semigroups or semigroups that satisfy Clifford’s condition. Our main findings are results about uniqueness of the full semigroup C∗-algebra. We build our analysis upon a rich interaction between the group of units of the semigroup and the family of constructible right ideals. As an application we identify algebraic conditions on S under which C∗(S) is purely infinite and simple.
First published in Transactions of the American Mathematical Society. © the American Mathematical Society. | en_US |
dc.language | EN | |
dc.rights | Attribution-NonCommercial 3.0 Unported | |
dc.rights.uri | https://creativecommons.org/licenses/by-nc/3.0/ | |
dc.title | On C*-algebras associated to right LCM semigroups | en_US |
dc.type | Journal article | en_US |
dc.creator.author | Brownlowe, Nathan | |
dc.creator.author | Larsen, Nadia S. | |
dc.creator.author | Stammeier, Nicolai | |
cristin.unitcode | 185,15,13,65 | |
cristin.unitname | Flere komplekse variable, logikk og operatoralgebraer | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 2 | |
dc.identifier.cristin | 1376754 | |
dc.identifier.bibliographiccitation | info:ofi/fmt:kev:mtx:ctx&ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Transactions of the American Mathematical Society&rft.volume=&rft.spage=&rft.date=2016 | |
dc.identifier.jtitle | Transactions of the American Mathematical Society | |
dc.identifier.volume | 369 | |
dc.identifier.issue | 1 | |
dc.identifier.startpage | 31 | |
dc.identifier.endpage | 68 | |
dc.identifier.doi | http://dx.doi.org/10.1090/tran/6638 | |
dc.identifier.urn | URN:NBN:no-57962 | |
dc.type.document | Tidsskriftartikkel | en_US |
dc.type.peerreviewed | Peer reviewed | |
dc.source.issn | 0002-9947 | |
dc.identifier.fulltext | Fulltext https://www.duo.uio.no/bitstream/handle/10852/55158/1/BLS-TRAN-final.pdf | |
dc.type.version | AcceptedVersion | |