Control on weak asymptotic abelianness with the help of the crossed product construction
Volume 43 / 1998
Banach Center Publications 43 (1998), 331-339
DOI: 10.4064/-43-1-331-339
Abstract
The crossed product construction is used to control in some examples the asymptotic behaviour of time evolution. How invariant states on a small algebra can be extended to invariant states on a larger algebra reduces to solving an eigenvalue problem. In some cases (the irrational rotation algebra) this eigenvalue problem has only trivial solutions and by reduction of the subalgebra control on all invariant states can be found.
