Cancellation does not imply stable rank one

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An 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.
4 pages, exposition improved in proof of main theorem, to appear in Bull. LMS

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Operator Algebras, Mathematical Physics, 46L05

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http://salesiana.dossiersoluciones.com/handle/123456789/102233

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0509107
 http://arxiv.org/abs/math/0509107

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arXiv