Fourier Invariant Partially approximating subalgebras of the irrational rotation C*-algebra

dc.creatorWalters, S.
dc.date2001-06-07
dc.date.accessioned2026-07-07T04:42:03Z
dc.date.available2026-07-07T04:42:03Z
dc.descriptionFor all transcendental parameters, the irrational rotation algebra is shown to contain infinitely many C*-subalgebras satisfying the following properties. Each subalgebra is isomorphic to a direct sum of two matrix algebras of the same (perfect square) dimension; the Fourier transform maps each summand onto the other; the corresponding unit projection is approximately central; the compressions of the canonical generators of the irrational rotation algebra are approximately contained in the subalgebra.
dc.description20 pages
dc.identifierhttps://arxiv.org/abs/math/0106053
dc.identifierhttp://arxiv.org/abs/math/0106053
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61609
dc.subjectOperator Algebras
dc.subjectFunctional Analysis
dc.subject46L80, 46L40, 46L35
dc.titleFourier Invariant Partially approximating subalgebras of the irrational rotation C*-algebra
dc.typetext

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