{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,2]],"date-time":"2026-03-02T10:25:34Z","timestamp":1772447134853,"version":"3.50.1"},"reference-count":0,"publisher":"European Mathematical Society - EMS - Publishing House GmbH","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Rev. Mat. Iberoam."],"published-print":{"date-parts":[[2013,12,15]]},"abstract":"<jats:p>\n            We establish a tensor product formula for bimodules over maximal abelian self-adjoint algebras and their supports. We use this formula to show that if \n            <jats:inline-formula>\n              <jats:tex-math>\\mathcal{A}<\/jats:tex-math>\n            <\/jats:inline-formula>\n             is the tensor product of finitely many continuous nest algebras, \n            <jats:inline-formula>\n              <jats:tex-math>\\mathcal{B}<\/jats:tex-math>\n            <\/jats:inline-formula>\n             is a CSL algebra and \n            <jats:inline-formula>\n              <jats:tex-math>\\mathcal{A}<\/jats:tex-math>\n            <\/jats:inline-formula>\n             and \n            <jats:inline-formula>\n              <jats:tex-math>\\mathcal{B}<\/jats:tex-math>\n            <\/jats:inline-formula>\n             have the same normaliser semigroup then either \n            <jats:inline-formula>\n              <jats:tex-math>\\mathcal{A} =\\mathcal{B}<\/jats:tex-math>\n            <\/jats:inline-formula>\n             or \n            <jats:inline-formula>\n              <jats:tex-math>\\mathcal{ A}^* = \\mathcal{B}<\/jats:tex-math>\n            <\/jats:inline-formula>\n            . We show that the result does not hold without the assumption that the nests be continuous, answering in the negative a question previously raised in the literature.\n          <\/jats:p>","DOI":"10.4171\/rmi\/760","type":"journal-article","created":{"date-parts":[[2013,12,15]],"date-time":"2013-12-15T22:45:07Z","timestamp":1387147507000},"page":"1373-1395","source":"Crossref","is-referenced-by-count":2,"title":["Normalisers of operator algebras and tensor product formulas"],"prefix":"10.4171","volume":"29","author":[{"given":"Martin","family":"McGarvey","sequence":"first","affiliation":[{"name":"Queen's University Belfast, Belfast, Northern Ireland, UK"}]},{"given":"Lina","family":"Oliveira","sequence":"additional","affiliation":[{"name":"Instituto Superior T\u00e9cnico, Lisboa, Portugal"}]},{"given":"Ivan G.","family":"Todorov","sequence":"additional","affiliation":[{"name":"Queen's University Belfast, Belfast, Northern Ireland, UK"}]}],"member":"2673","container-title":["Revista Matem\u00e1tica Iberoamericana"],"original-title":[],"link":[{"URL":"http:\/\/www.ems-ph.org\/fulltext\/10.4171\/RMI\/760","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,10,21]],"date-time":"2024-10-21T18:18:55Z","timestamp":1729534735000},"score":1,"resource":{"primary":{"URL":"https:\/\/ems.press\/doi\/10.4171\/rmi\/760"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,12,15]]},"references-count":0,"journal-issue":{"issue":"4"},"URL":"https:\/\/doi.org\/10.4171\/rmi\/760","relation":{},"ISSN":["0213-2230","2235-0616"],"issn-type":[{"value":"0213-2230","type":"print"},{"value":"2235-0616","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,12,15]]}}}