Good spectral triples, associated Lie groups of Campbell-Baker-Hausdorff type and unimodularity
| dc.creator | Marion, J. | |
| dc.creator | Valavane, K. | |
| dc.date | 1999-03-23 | |
| dc.date.accessioned | 2026-07-25T22:34:51Z | |
| dc.description | The notion of good spectral triple is initiated. We prove firstly that any regular spectral triple may be embedded in a good spectral triple, so that, in non-commutative geometry, we can restricts to deal only with good spectral triples. Given a good spectral triple K=(A,H,D), we prove that A is naturally endowed with a topology, called the K-topology, making it into an unital Frechet pre C*-algebra, and that the group Inv(A) of its invertible elements has a canonical structure of Frechet Lie group of Campbell-Baker-Hausdorff type open in its Lie algebra A; moreover, for any n>0 one has that K_n=(M_n(A), H\otimes C^n,D\otimes I_n) is still a good spectral triple. One deduces three important consequences. | |
| dc.description | latex, 27 pages, uses thmdefs.sty, tcilatex.tex | |
| dc.identifier | https://arxiv.org/abs/math-ph/9903037 | |
| dc.identifier | http://arxiv.org/abs/math-ph/9903037 | |
| dc.identifier.uri | https://dspace.dare.co.zw/handle/123456789/90448 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Operator Algebras | |
| dc.subject | 22E65, 58B25, 46K10, 22D25 | |
| dc.title | Good spectral triples, associated Lie groups of Campbell-Baker-Hausdorff type and unimodularity | |
| dc.type | text |