Purely infinite, simple C*-algebras arising from free product constructions, II

dc.creatorDykema, Ken
dc.date1999-11-02
dc.date.accessioned2026-07-07T05:31:24Z
dc.date.available2026-07-07T05:31:24Z
dc.descriptionCertain reduced free products of C*-algebras, (A,phi)=(A_1,phi_1)*(A_2,ϕ_2), taken with respect to faithful states, at least one of which is not a trace, are shown to be purely infinite and simple. It is assumed that one of the A_i contain a partial isometry in the spectral subspace of phi_i corresponding to a positive number not equal to one. For example, if A_1 and A_2 are copies of the two-by-two complex matrices and if phi_1 and phi_2 are not unitarily conjugate, it is shown that A is simple and purely infinite.
dc.description15 pages
dc.identifierhttps://arxiv.org/abs/math/9911007
dc.identifierhttp://arxiv.org/abs/math/9911007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79329
dc.subjectOperator Algebras
dc.subject46L05, 46L35
dc.titlePurely infinite, simple C*-algebras arising from free product constructions, II
dc.typetext

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