C*-Multipliers, crossed product algebras, and canonical commutation relations
| dc.creator | Naudts, Jan | |
| dc.date | 1999-07-09 | |
| dc.date | 2000-03-20 | |
| dc.date.accessioned | 2026-07-07T04:32:52Z | |
| dc.date.available | 2026-07-07T04:32:52Z | |
| dc.description | The notion of a multiplier of a group X is generalized to that of a C*-multiplier by allowing it to have values in an arbitrary C*-algebra A. On the other hand, the notion of the action of X in A is generalized to that of a projective action of X as linear transformations of the space of continuous functions with compact support in X and with values in A. It is shown that there exists a one-to-one correspondence between C*-multipliers and projective actions. C*-multipliers have been used to define twisted group algebras. On the other hand, the projective action tau can be used to construct the crossed product algebra A x_tau X. Both constructions are unified in the present approach. The results are applicable in mathematical physics. The multiplier algebra of the crossed product algebra A x_tau X contains Weyl operators {W(x),x in X}. They satisfy canonical commutation relations w.r.t. the C*-multiplier. Quantum spacetime is discussed as an example. | |
| dc.description | slightly improved version, 26 pages (originally 21) | |
| dc.identifier | https://arxiv.org/abs/math-ph/9907008 | |
| dc.identifier | http://arxiv.org/abs/math-ph/9907008 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58356 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Operator Algebras | |
| dc.subject | 22d25;46l60 | |
| dc.title | C*-Multipliers, crossed product algebras, and canonical commutation relations | |
| dc.type | text |