Cancellation Does Not Imply Stable Rank One
نویسنده
چکیده
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 for any A, and some partial converses have been established. In the sequel it is proved that cancellation does not imply stable rank one for simple, stably finite C∗-algebras.
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