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

2007/07/15 by Ciuperca, Alin, Elliott, George A.
#FOS: Mathematics #Operator Algebras (math.OA)

paper · doi:10.48550/arxiv.0707.2220

Abstract

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.

Related

• The modern theory of Cuntz semigroups of C*-algebras
• A total Cuntz semigroup for C^*-algebras of stable rank one
• A systematic approach for invariants of C*-algebras
• The Cuntz semigroup as an invariant for C*-algebras
• Recovering the Elliott invariant from the Cuntz semigroup