Cancellation does not imply stable rank one

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dc.creatorToms, Andrew S.
dc.date2005-09-05
dc.date2006-01-27
dc.date.accessioned2026-07-07T06:42:56Z
dc.date.available2026-07-07T06:42:56Z
dc.descriptionAn unital C*-algebra A is said to have cancellation of projections if the semigroup D(A) of Murray-von Neumann equivalence classes of projections in matrices over A is cancellative. It has long been known that stable rank one implies cancellation, and some partial convereses have been established. We prove that cancellation does not imply stable rank one for simple, stably finite C*-algebras.
dc.description4 pages, exposition improved in proof of main theorem, to appear in Bull. LMS
dc.identifierhttps://arxiv.org/abs/math/0509107
dc.identifierhttp://arxiv.org/abs/math/0509107
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/102233
dc.subjectOperator Algebras
dc.subjectMathematical Physics
dc.subject46L05
dc.titleCancellation does not imply stable rank one
dc.typetext

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