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International Mathematics Research Notices (2008) Vol. 2008 : article ID rnm158, 33 pages, doi:10.1093/imrn/rnm158 published on February 15, 2008
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© The Author 2008. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: journals.permissions@oxfordjournals.org

A Remark on Invariants for C*-Algebras of Stable Rank One

Alin Ciuperca and George A. Elliott

Department of Mathematics, University of Toronto, Toronto, M5S 2E4 Canada

Correspondence: Correspondence to be sent to: elliott{at}math.toronto.edu

It is shown that, for a C*-algebra of stable rank one (i.e. in which the invertible elements are dense), two well-known invariants, the Cuntz semigroup and the Thomsen semigroup, contain the same information. More precisely, these two invariants, viewed appropriately, determine each other in a natural way.


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