A remark on invariants for C*-algebras of stable rank one
classification
🧮 math.OA
keywords
invariantsranksemigroupstablealgebraalgebrasappropiatelycontain
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It is shown that, for a C*-algebra of stable rank one (i.e., in which the invertible elements are dense), two well-known isomorphism invariants, the Cuntz semigroup and the Thomsen semigroup, contain the same information. More precisely, these two invariants, viewed appropiately, determine each other in a natural way.
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