Generators of Noncommutative Dynamics
| dc.creator | Arveson, William | |
| dc.date | 2002-01-15 | |
| dc.date.accessioned | 2026-07-07T04:45:52Z | |
| dc.date.available | 2026-07-07T04:45:52Z | |
| dc.description | For a fixed C*-algebra A, we consider all noncommutative dynamical systems that can be generated by A. More precisely, an A-dynamical system is a triple (i,B,α) where $α$ is a *-endomorphism of a C*-algebra B, and i: A --> B is the inclusion of A as a C^*-subalgebra with the property that B is generated by $A\cup α(A)\cup α^2(A)\cup...$. There is a natural hierarchy in the class of A-dynamical systems, and there is a universal one that dominates all others, denoted (i,PA,α). We establish certain properties of $(i,PA,α)$ and give applications to some concrete issues of noncommutative dynamics. For example, we show that every contractive completely positive linear map $ϕ: A\to A$ gives rise to to a unique A-dynamical system (i,B,α) that is "minimal" with respect to $ϕ$, and we show that its C*-algebra B can be embedded in the multiplier algebra of $A\otimes {\mathcal K}$. | |
| dc.description | LaTeX, 15 pages typeset | |
| dc.identifier | https://arxiv.org/abs/math/0201137 | |
| dc.identifier | http://arxiv.org/abs/math/0201137 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/63120 | |
| dc.subject | Operator Algebras | |
| dc.subject | Dynamical Systems | |
| dc.title | Generators of Noncommutative Dynamics | |
| dc.type | text |