A remark on trace properties of K-cycles
| dc.creator | Cipriani, Fabio | |
| dc.creator | Guido, Daniele | |
| dc.creator | Scarlatti, Sergio | |
| dc.date | 1995-06-14 | |
| dc.date.accessioned | 2026-07-07T09:13:32Z | |
| dc.date.available | 2026-07-07T09:13:32Z | |
| dc.description | In this paper we discuss trace properties of $d^+$-summable $K$-cycles considered by A.Connes in [\rfr(Conn4)]. More precisely we give a proof of a trace theorem on the algebra $\A$ of a $K$--cycle stated in [\rfr(Conn4)], namely we show that a natural functional on $\A$ is a trace functional. Then we discuss whether this functional gives a trace on the whole universal graded differential algebra $\Q(\A)$. On the one hand we prove that the regularity conditions on $K$-cycles considered in [\rfr(Conn4)] imply the trace property on $\Q(\A)$. On the other hand, by constructing an explicit counterexample, we remark that the sole $K$-cycle assumption is not sufficient for such a property to hold. | |
| dc.description | 11 pages, plain TeX | |
| dc.identifier | https://arxiv.org/abs/funct-an/9506003 | |
| dc.identifier | http://arxiv.org/abs/funct-an/9506003 | |
| dc.identifier | J. Operator Theory, 35 (1996) 179 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152360 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.title | A remark on trace properties of K-cycles | |
| dc.type | text |