Cocycle conjugacy of quasifree endomorphisms semigroups on the CAR algebra
| dc.creator | Amosov, G. G. | |
| dc.date | 2000-10-18 | |
| dc.date | 2000-10-20 | |
| dc.date.accessioned | 2026-07-07T04:38:07Z | |
| dc.date.available | 2026-07-07T04:38:07Z | |
| dc.description | W. Arveson has described a cocycle conjugacy class $U(α)$ of $E_0$-semigroup $α$ on B(H) which is a factor of type $\rm I$. Under some conditions on $α$, there is a $E_0$-semigroup $β\in U(α)$ being a flow of shifts in the sence of R.T. Powers. We study quasifree endomorphisms semigroups $α$ on the hyperfinite factor $M=π(A(K))''$ generated by the representations $π$ of the algebra of canonical anticommutation relations A(K) over a separable Hilbert space K. The type of M can be $\rm I$, $\rm II$ or $\rm III$ depending on $π$. The cocycle conjugacy class $U(α)$ is described in the terms of initial isometrical semigroups in K and an analogue of the Arveson result for the hyperfinite factors M of the type $\rm II_1$ and $\rm III_λ, 0<λ<1,$ is introduced. | |
| dc.description | 15 pages, Latex | |
| dc.identifier | https://arxiv.org/abs/math/0010183 | |
| dc.identifier | http://arxiv.org/abs/math/0010183 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/60158 | |
| dc.subject | Operator Algebras | |
| dc.subject | Functional Analysis | |
| dc.subject | 46L,47B | |
| dc.title | Cocycle conjugacy of quasifree endomorphisms semigroups on the CAR algebra | |
| dc.type | text |