Control on weak asymptotic abelianness with the help of the crossed product construction
Narnhofer, Heide
Banach Center Publications, Tome 43 (1998), p. 331-339 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:208854 
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     author = {Narnhofer, Heide},
     title = {Control on weak asymptotic abelianness with the help of the crossed product construction},
     journal = {Banach Center Publications},
     volume = {43},
     year = {1998},
     pages = {331-339},
     zbl = {0937.46060},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-bcpv43i1p331bwm}
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Narnhofer, Heide. Control on weak asymptotic abelianness with the help of the crossed product construction. Banach Center Publications, Tome 43 (1998) pp. 331-339. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-bcpv43i1p331bwm/

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