Three Applications of the Cuntz Semigroup
| dc.creator | Brown, Nathanial P. | |
| dc.creator | Toms, Andrew S. | |
| dc.date | 2007-04-30 | |
| dc.date.accessioned | 2026-07-07T07:58:49Z | |
| dc.date.available | 2026-07-07T07:58:49Z | |
| dc.description | Building on work of Elliott and coworkers, we present three applications of the Cuntz semigroup: (i) for many simple C$^*$-algebras, the Thomsen semigroup is recovered functorially from the Elliott invariant, and this yields a new proof of Elliott's classification theorem for simple, unital AI algebras; (ii) for the algebras in (i), classification of their Hilbert modules is similar to the von Neumann algebra context; (iii) for the algebras in (i), approximate unitary equivalence of self-adjoint operators is characterised in terms of the Elliott invariant. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/0704.3988 | |
| dc.identifier | http://arxiv.org/abs/0704.3988 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/128144 | |
| dc.subject | Operator Algebras | |
| dc.title | Three Applications of the Cuntz Semigroup | |
| dc.type | text |