# Control on weak asymptotic abelianness with the help of the crossed product construction

Banach Center Publications (1998)

- Volume: 43, Issue: 1, page 331-339
- ISSN: 0137-6934

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topNarnhofer, Heide. "Control on weak asymptotic abelianness with the help of the crossed product construction." Banach Center Publications 43.1 (1998): 331-339. <http://eudml.org/doc/208854>.

@article{Narnhofer1998,

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.},

author = {Narnhofer, Heide},

journal = {Banach Center Publications},

keywords = {asymptotic abelianness; crossed product construction; asymptotic behaviour of time evolution; invariant states; eigenvalue problem; irrational rotation algebra},

language = {eng},

number = {1},

pages = {331-339},

title = {Control on weak asymptotic abelianness with the help of the crossed product construction},

url = {http://eudml.org/doc/208854},

volume = {43},

year = {1998},

}

TY - JOUR

AU - Narnhofer, Heide

TI - Control on weak asymptotic abelianness with the help of the crossed product construction

JO - Banach Center Publications

PY - 1998

VL - 43

IS - 1

SP - 331

EP - 339

AB - 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.

LA - eng

KW - asymptotic abelianness; crossed product construction; asymptotic behaviour of time evolution; invariant states; eigenvalue problem; irrational rotation algebra

UR - http://eudml.org/doc/208854

ER -

## References

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