FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W2072433700> ?p ?o ?g. }

• W2072433700 endingPage "3405" @default.
• W2072433700 startingPage "3375" @default.
• W2072433700 abstract "An approximate Universal Coefficient Theorem (AUCT) for certain <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper C Superscript asterisk> <mml:semantics> <mml:msup> <mml:mi>C</mml:mi> <mml:mo>∗<!-- ∗ --></mml:mo> </mml:msup> <mml:annotation encoding=application/x-tex>C^*</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-algebras is established. We present a proof that Kirchberg-Phillips’s classification theorem for separable nuclear purely infinite simple <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper C Superscript asterisk> <mml:semantics> <mml:msup> <mml:mi>C</mml:mi> <mml:mo>∗<!-- ∗ --></mml:mo> </mml:msup> <mml:annotation encoding=application/x-tex>C^*</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-algebras is valid for <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper C Superscript asterisk> <mml:semantics> <mml:msup> <mml:mi>C</mml:mi> <mml:mo>∗<!-- ∗ --></mml:mo> </mml:msup> <mml:annotation encoding=application/x-tex>C^*</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-algebras satisfying the AUCT instead of the UCT. It is proved that two versions of AUCT are in fact the same. We also show that <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper C Superscript asterisk> <mml:semantics> <mml:msup> <mml:mi>C</mml:mi> <mml:mo>∗<!-- ∗ --></mml:mo> </mml:msup> <mml:annotation encoding=application/x-tex>C^*</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-algebras that are locally approximated by <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper C Superscript asterisk> <mml:semantics> <mml:msup> <mml:mi>C</mml:mi> <mml:mo>∗<!-- ∗ --></mml:mo> </mml:msup> <mml:annotation encoding=application/x-tex>C^*</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-algebras satisfying the AUCT satisfy the AUCT. As an application, we prove that certain simple <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper C Superscript asterisk> <mml:semantics> <mml:msup> <mml:mi>C</mml:mi> <mml:mo>∗<!-- ∗ --></mml:mo> </mml:msup> <mml:annotation encoding=application/x-tex>C^*</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-algebras which are locally type I are in fact isomorphic to simple AH-algebras. As another application, we show that a sequence of residually finite-dimensional <inline-formula content-type=math/mathml> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML alttext=upper C Superscript asterisk> <mml:semantics> <mml:msup> <mml:mi>C</mml:mi> <mml:mo>∗<!-- ∗ --></mml:mo> </mml:msup> <mml:annotation encoding=application/x-tex>C^*</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-algebras which are asymptotically nuclear and which asymptotically satisfies the AUCT can be embedded into the same simple AF-algebra." @default.
• W2072433700 created "2016-06-24" @default.
• W2072433700 creator A5078227996 @default.
• W2072433700 date "2005-03-25" @default.
• W2072433700 modified "2023-10-18" @default.
• W2072433700 title "An approximate universal coefficient theorem" @default.
• W2072433700 cites W1507438528 @default.
• W2072433700 cites W1507672198 @default.
• W2072433700 cites W1512159466 @default.
• W2072433700 cites W1587070218 @default.
• W2072433700 cites W1867396416 @default.
• W2072433700 cites W1976554830 @default.
• W2072433700 cites W1978727280 @default.
• W2072433700 cites W1979780052 @default.
• W2072433700 cites W1983808871 @default.
• W2072433700 cites W1985404456 @default.
• W2072433700 cites W1986808251 @default.
• W2072433700 cites W1997751235 @default.
• W2072433700 cites W1998167551 @default.
• W2072433700 cites W2000035322 @default.
• W2072433700 cites W2016115282 @default.
• W2072433700 cites W2016514410 @default.
• W2072433700 cites W2018034335 @default.
• W2072433700 cites W2021375806 @default.
• W2072433700 cites W2023922981 @default.
• W2072433700 cites W2046195007 @default.
• W2072433700 cites W2047520898 @default.
• W2072433700 cites W2062179063 @default.
• W2072433700 cites W2065925742 @default.
• W2072433700 cites W2069423814 @default.
• W2072433700 cites W2070358642 @default.
• W2072433700 cites W2071154128 @default.
• W2072433700 cites W2090278563 @default.
• W2072433700 cites W2094214820 @default.
• W2072433700 cites W2104168981 @default.
• W2072433700 cites W2119750422 @default.
• W2072433700 cites W2127844270 @default.
• W2072433700 cites W2140071368 @default.
• W2072433700 cites W2167875711 @default.
• W2072433700 cites W2334450615 @default.
• W2072433700 cites W2952950155 @default.
• W2072433700 cites W2963875337 @default.
• W2072433700 cites W4230141524 @default.
• W2072433700 cites W4234927491 @default.
• W2072433700 cites W4249210684 @default.
• W2072433700 doi "https://doi.org/10.1090/s0002-9947-05-03696-2" @default.
• W2072433700 hasPublicationYear "2005" @default.
• W2072433700 type Work @default.
• W2072433700 sameAs 2072433700 @default.
• W2072433700 citedByCount "21" @default.
• W2072433700 countsByYear W20724337002014 @default.
• W2072433700 countsByYear W20724337002015 @default.
• W2072433700 countsByYear W20724337002016 @default.
• W2072433700 countsByYear W20724337002017 @default.
• W2072433700 countsByYear W20724337002018 @default.
• W2072433700 countsByYear W20724337002019 @default.
• W2072433700 countsByYear W20724337002020 @default.
• W2072433700 crossrefType "journal-article" @default.
• W2072433700 hasAuthorship W2072433700A5078227996 @default.
• W2072433700 hasBestOaLocation W20724337001 @default.
• W2072433700 hasConcept C11413529 @default.
• W2072433700 hasConcept C154945302 @default.
• W2072433700 hasConcept C18903297 @default.
• W2072433700 hasConcept C2776321320 @default.
• W2072433700 hasConcept C2777299769 @default.
• W2072433700 hasConcept C33923547 @default.
• W2072433700 hasConcept C41008148 @default.
• W2072433700 hasConcept C77088390 @default.
• W2072433700 hasConcept C86803240 @default.
• W2072433700 hasConceptScore W2072433700C11413529 @default.
• W2072433700 hasConceptScore W2072433700C154945302 @default.
• W2072433700 hasConceptScore W2072433700C18903297 @default.
• W2072433700 hasConceptScore W2072433700C2776321320 @default.
• W2072433700 hasConceptScore W2072433700C2777299769 @default.
• W2072433700 hasConceptScore W2072433700C33923547 @default.
• W2072433700 hasConceptScore W2072433700C41008148 @default.
• W2072433700 hasConceptScore W2072433700C77088390 @default.
• W2072433700 hasConceptScore W2072433700C86803240 @default.
• W2072433700 hasIssue "8" @default.
• W2072433700 hasLocation W20724337001 @default.
• W2072433700 hasOpenAccess W2072433700 @default.
• W2072433700 hasPrimaryLocation W20724337001 @default.
• W2072433700 hasRelatedWork W151193258 @default.
• W2072433700 hasRelatedWork W1529400504 @default.
• W2072433700 hasRelatedWork W1607472309 @default.
• W2072433700 hasRelatedWork W1871911958 @default.
• W2072433700 hasRelatedWork W1892467659 @default.
• W2072433700 hasRelatedWork W2348710178 @default.
• W2072433700 hasRelatedWork W2349865494 @default.
• W2072433700 hasRelatedWork W2808586768 @default.
• W2072433700 hasRelatedWork W2998403542 @default.
• W2072433700 hasRelatedWork W3107474891 @default.
• W2072433700 hasVolume "357" @default.
• W2072433700 isParatext "false" @default.
• W2072433700 isRetracted "false" @default.
• W2072433700 magId "2072433700" @default.
• W2072433700 workType "article" @default.