Matches in DBpedia 2015-10 for { <http://dbpedia.org/resource/Bunce–Deddens_algebra> ?p ?o }
Showing triples 1 to 45 of
45
with 100 triples per page.
- Bunce–Deddens_algebra abstract "In C*-algebras, a Bunce–Deddens algebra is a certain type of direct limit of matrix algebras over the continuous functions on the circle. They are therefore examples of simple unital AT algebras. In the inductive system defining these algebras, the connecting maps between each stage are given by embeddings between families of shift operators with periodic weights.Each inductive system defining a Bunce–Deddens algebra is associated with a supernatural number, which is a complete invariant for these algebras. In the language of K-theory, the supernatural number correspond to the K0 group of the algebra. Also, Bunce–Deddens algebras can be expressed as the C*-crossed product of the Cantor set with a certain natural minimal action, so-called odometer action. They also admit a unique tracial state. Together with the fact that they are AT, this implies they have real rank zero.In a broader context of the classification program for simple separable nuclear C*-algebras, AT-algebras of real rank zero were shown to be completely classified by their K-theory, the Choquet simplex of tracial states, and the natural pairing between K0 and traces. The classification of Bunce–Deddens algebras is thus a precursor to the general result.It is also known that, in general, crossed products arising from minimal homeomorphism on the Cantor set are simple AT-algebras of real rank zero.".
- Bunce–Deddens_algebra wikiPageID "36672347".
- Bunce–Deddens_algebra wikiPageLength "13035".
- Bunce–Deddens_algebra wikiPageOutDegree "27".
- Bunce–Deddens_algebra wikiPageRevisionID "641321586".
- Bunce–Deddens_algebra wikiPageWikiLink AT_algebra.
- Bunce–Deddens_algebra wikiPageWikiLink C*-algebra.
- Bunce–Deddens_algebra wikiPageWikiLink Cantor_set.
- Bunce–Deddens_algebra wikiPageWikiLink Category:C*-algebras.
- Bunce–Deddens_algebra wikiPageWikiLink Choquet_theory.
- Bunce–Deddens_algebra wikiPageWikiLink Compact_operator_on_Hilbert_space.
- Bunce–Deddens_algebra wikiPageWikiLink Crossed_product.
- Bunce–Deddens_algebra wikiPageWikiLink Direct_limit.
- Bunce–Deddens_algebra wikiPageWikiLink Exact_sequence.
- Bunce–Deddens_algebra wikiPageWikiLink Functional_calculus.
- Bunce–Deddens_algebra wikiPageWikiLink Nuclear_C*-algebra.
- Bunce–Deddens_algebra wikiPageWikiLink Operator_K-theory.
- Bunce–Deddens_algebra wikiPageWikiLink Ordered_group.
- Bunce–Deddens_algebra wikiPageWikiLink Partially_ordered_group.
- Bunce–Deddens_algebra wikiPageWikiLink Real_rank_zero.
- Bunce–Deddens_algebra wikiPageWikiLink Separable_(topology).
- Bunce–Deddens_algebra wikiPageWikiLink Separable_space.
- Bunce–Deddens_algebra wikiPageWikiLink Shift_operator.
- Bunce–Deddens_algebra wikiPageWikiLink Short_exact_sequence.
- Bunce–Deddens_algebra wikiPageWikiLink Simple_(abstract_algebra).
- Bunce–Deddens_algebra wikiPageWikiLink State_(functional_analysis).
- Bunce–Deddens_algebra wikiPageWikiLink Toeplitz_algebra.
- Bunce–Deddens_algebra wikiPageWikiLink Tracial_state.
- Bunce–Deddens_algebra wikiPageWikiLink Unilateral_shift.
- Bunce–Deddens_algebra wikiPageWikiLink Unitary_representation.
- Bunce–Deddens_algebra wikiPageWikiLink Universal_property.
- Bunce–Deddens_algebra wikiPageWikiLink Vector_bundle.
- Bunce–Deddens_algebra wikiPageWikiLinkText "Bunce–Deddens algebra".
- Bunce–Deddens_algebra hasPhotoCollection Bunce–Deddens_algebra.
- Bunce–Deddens_algebra wikiPageUsesTemplate Template:Citation.
- Bunce–Deddens_algebra wikiPageUsesTemplate Template:Further.
- Bunce–Deddens_algebra wikiPageUsesTemplate Template:Multiple_issues.
- Bunce–Deddens_algebra subject Category:C*-algebras.
- Bunce–Deddens_algebra comment "In C*-algebras, a Bunce–Deddens algebra is a certain type of direct limit of matrix algebras over the continuous functions on the circle. They are therefore examples of simple unital AT algebras.".
- Bunce–Deddens_algebra label "Bunce–Deddens algebra".
- Bunce–Deddens_algebra sameAs m.0l8p3tz.
- Bunce–Deddens_algebra sameAs Q4997435.
- Bunce–Deddens_algebra sameAs Q4997435.
- Bunce–Deddens_algebra wasDerivedFrom Bunce–Deddens_algebra?oldid=641321586.
- Bunce–Deddens_algebra isPrimaryTopicOf Bunce–Deddens_algebra.