The Curvature Invariant of a Non-commuting $N$-tuple
| dc.creator | Kribs, David W. | |
| dc.date | 2003-09-23 | |
| dc.date.accessioned | 2026-07-07T05:01:23Z | |
| dc.date.available | 2026-07-07T05:01:23Z | |
| dc.description | Non-commutative versions of Arveson's curvature invariant and Euler characteristic for a commuting $n$-tuple of operators are introduced. The non-commutative curvature invariant is sensitive enough to determine if an $n$-tuple is free. In general both invariants can be thought of as measuring the freeness or curvature of an $n$-tuple. The connection with dilation theory provides motivation and exhibits relationships between the invariants. A new class of examples is used to illustrate the differences encountered in the non-commutative setting and obtain information on the ranges of the invariants. The curvature invariant is also shown to be upper semi-continuous. | |
| dc.description | 29 pages, preprint version | |
| dc.identifier | https://arxiv.org/abs/math/0309383 | |
| dc.identifier | http://arxiv.org/abs/math/0309383 | |
| dc.identifier | Integral Eqtns. & Operator Thy. 41 (2001), 426-454 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/68650 | |
| dc.subject | Operator Algebras | |
| dc.subject | Functional Analysis | |
| dc.subject | 47A13, 47A20 | |
| dc.title | The Curvature Invariant of a Non-commuting $N$-tuple | |
| dc.type | text |