Triviality of a trace on the space of commuting trace-class self-adjoint operators
| dc.creator | Myung, Sung | |
| dc.date | 2008-03-17 | |
| dc.date | 2008-03-26 | |
| dc.date.accessioned | 2026-07-07T09:28:15Z | |
| dc.date.available | 2026-07-07T09:28:15Z | |
| dc.description | In the present article, we investigate a possibility of a real-valued map on the space of tuples of commuting trace-class self-adjoint operators, which behaves like the usual trace map on the space of trace-class linear operators. It turns out that such maps are related with continuous group homomorphisms from the Milnor's $K$-group of the real numbers into the additive group of real numbers. Using this connection, it is shown that any such trace map must be trivial. | |
| dc.description | 5 pages | |
| dc.identifier | https://arxiv.org/abs/0803.2471 | |
| dc.identifier | http://arxiv.org/abs/0803.2471 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/157384 | |
| dc.subject | Operator Algebras | |
| dc.subject | K-Theory and Homology | |
| dc.title | Triviality of a trace on the space of commuting trace-class self-adjoint operators | |
| dc.type | text |