Laurent Cantier (Universitat Aut\u00f2noma de Barcelona)<\/p>\n
The Cu$_1$-semigroup as an invariant for K$_1$-obstruction cases<\/em><\/p>\n Abstract: The aim of this talk is to explicitly shows that the unitary Cuntz semigroup, defined using the Cuntz semigroup and the K$_1$ group, strictly contains more information than the latter invariants alone. To that end, we construct two C*-algebras, distinguished by their unitary Cuntz semigroup, whose K-Theory and Cu-semigroup are isomorphic. Both A and B, constructed as inductive limits of NCCW 1-algebras, are non-simple unital separable C\u2217-algebras of stable rank one with K$_1$-obstructions. This shows that a likewise invariant is necessary in order to extend classification results of C*-algebras by means of Cuntz semigroup to the non trivial K$_1$ group case.<\/p>\n","protected":false},"excerpt":{"rendered":" Laurent Cantier (Universitat Aut\u00f2noma de Barcelona) The Cu$_1$-semigroup as an invariant for K$_1$-obstruction cases Abstract: The aim of this talk is to explicitly shows that the unitary Cuntz semigroup, defined using the Cuntz semigroup and the K$_1$ group, strictly contains more information than the latter invariants alone. To that end, we construct two C*-algebras, distinguished … <\/p>\n