A remark on invariants for C*-algebras of stable rank one

Details A remark on invariants for C*-algebras of stable rank one A remark on invariants for C*-algebras of stable rank one

2007-07-15

arxiv.org/abs/0707.2220v2

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.

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