Mathematics – Operator Algebras
Scientific paper
2007-07-15
Mathematics
Operator Algebras
Scientific paper
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.
Ciuperca Alin
Elliott George A.
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