Reduced free products of unital AH algebras and Blackadar and Kirchberg's MF algebras

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dc.creatorHadwin, Don
dc.creatorLi, Jiankui
dc.creatorShen, Junhao
dc.creatorWang, Liguang
dc.date2008-12-01
dc.date.accessioned2026-07-07T12:08:14Z
dc.date.available2026-07-07T12:08:14Z
dc.descriptionIn the paper, we prove that reduced free products of unital AH algebras with respect to given faithful tracial states, in the sense of Voiculescu, are Blackadar and Kirhcberg's MF algebras. We also show that the reduced free products of unital AH algebras with respect to given faithful tracial states, under mild conditions, are not quasidiagonal. Therefore we conclude, for a large class of AH algebras, the Brown-Douglas-Fillmore extension semigroups of the reduced free products of these AH algebras with respect to given faithful tracial states are not groups. Our result is based on Haagerup and Thorbjørsen's work on the reduced C$^*$-algebras of free groups.
dc.description29 pages
dc.identifierhttps://arxiv.org/abs/0812.0189
dc.identifierhttp://arxiv.org/abs/0812.0189
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209243
dc.subjectOperator Algebras
dc.titleReduced free products of unital AH algebras and Blackadar and Kirchberg's MF algebras
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