SOME REDUCED FREE PRODUCTS OF ABELIAN C*-ALGEBRAS AND SOME C*-SUBALGEBRA IN A FREE PRODUCT
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Heo, Jaeseong | - |
dc.contributor.author | Kim, Jeong Hee | - |
dc.date.accessioned | 2022-12-20T15:53:12Z | - |
dc.date.available | 2022-12-20T15:53:12Z | - |
dc.date.created | 2022-08-27 | - |
dc.date.issued | 2010-09 | - |
dc.identifier.issn | 1015-8634 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/174189 | - |
dc.description.abstract | We prove that the reduced free product of k x k matrix algebras over abelian C*-algebras is not the minimal tensor product of reduced free products of k x k matrix algebras over abelian C*-algebras. It is shown that the reduced group C*-algebra associated with a group having the property T of Kazhdan is not isomorphic to a reduced free product of abelian C*-algebras or the minimal tensor product of such reduced free products. The infinite tensor product of reduced free products of abelian C*-algebras is not isomorphic to the tensor product of a nuclear C*-algebra and a reduced free product of abelian C*-algebra. We discuss the freeness of free product Ill-factors and solidity of free product II(1)-factors weaker than that of Ozawa. We show that the freeness in a free product is related to the existence of Cartan subalgebras in free product II(1)-factors. Finally, we give a free product factor which is not solid in the weak sense. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | KOREAN MATHEMATICAL SOC | - |
dc.title | SOME REDUCED FREE PRODUCTS OF ABELIAN C*-ALGEBRAS AND SOME C*-SUBALGEBRA IN A FREE PRODUCT | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Heo, Jaeseong | - |
dc.identifier.doi | 10.4134/BKMS.2010.47.5.997 | - |
dc.identifier.scopusid | 2-s2.0-77958601865 | - |
dc.identifier.wosid | 000282848200010 | - |
dc.identifier.bibliographicCitation | BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, v.47, no.5, pp.997 - 1010 | - |
dc.relation.isPartOf | BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | - |
dc.citation.title | BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY | - |
dc.citation.volume | 47 | - |
dc.citation.number | 5 | - |
dc.citation.startPage | 997 | - |
dc.citation.endPage | 1010 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.identifier.kciid | ART001481981 | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | Y | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.description.journalRegisteredClass | kci | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | VON-NEUMANN-ALGEBRAS | - |
dc.subject.keywordPlus | VONNEUMANN-ALGEBRAS | - |
dc.subject.keywordPlus | STAR-ALGEBRAS | - |
dc.subject.keywordPlus | SIMPLICITY | - |
dc.subject.keywordAuthor | free product of C*-algebras | - |
dc.subject.keywordAuthor | Powers&apos | - |
dc.subject.keywordAuthor | group | - |
dc.subject.keywordAuthor | minimal tensor product | - |
dc.subject.keywordAuthor | stable rank 1 | - |
dc.subject.keywordAuthor | prime factor | - |
dc.subject.keywordAuthor | property T | - |
dc.subject.keywordAuthor | Cartan subalgebra | - |
dc.identifier.url | http://koreascience.or.kr/article/JAKO201027838917607.page | - |
Items in ScholarWorks are protected by copyright, with all rights reserved, unless otherwise indicated.
222, Wangsimni-ro, Seongdong-gu, Seoul, 04763, Korea+82-2-2220-1365
COPYRIGHT © 2021 HANYANG UNIVERSITY.
Certain data included herein are derived from the © Web of Science of Clarivate Analytics. All rights reserved.
You may not copy or re-distribute this material in whole or in part without the prior written consent of Clarivate Analytics.