Projections in free product C*-algebras
| dc.creator | Dykema, Kenneth J. | |
| dc.creator | Rordam, Mikael | |
| dc.date | 1997-02-17 | |
| dc.date.accessioned | 2026-07-07T09:13:44Z | |
| dc.date.available | 2026-07-07T09:13:44Z | |
| dc.description | Consider the reduced free product of C*-algebras, (A,ϕ)=(A_1,ϕ_1)*(A_2,ϕ_2), with respect to states ϕ_1 and ϕ_2 that are faithful. If ϕ_1 and ϕ_2 are traces, if the so-called Avitzour conditions are satisfied, (i.e. A_1 and A_2 are not ``too small'' in a specific sense) and if A_1 and A_2 are nuclear, then it is shown that the positive cone of the K_0-group of A consists of those elements g in K_0(A) for which g=0 or K_0(ϕ)(g)>0. Thus, the ordered group K_0(A) is weakly unperforated. If, on the other hand, ϕ_1 or ϕ_2 is not a trace and if a certain condition weaker than the Avitzour conditions hold, then A is properly infinite. | |
| dc.identifier | https://arxiv.org/abs/funct-an/9702016 | |
| dc.identifier | http://arxiv.org/abs/funct-an/9702016 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152434 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.subject | 46L80 (19K14, 46L05, 46L35) | |
| dc.title | Projections in free product C*-algebras | |
| dc.type | text |