03324cam 2200517 i 450000100090000000300050000900500170001400600190003100700150005000800410006502000270010604000340013305000250016708200150019208400290020710000240023624501100026026401420037030000380051233600260055033700280057633800270060449000750063150000530070650000520075950002160081150400670102750503670109450600500146153300950151153800360160658800470164265000210168965000470171065000170175765000430177465001450181765001440196265001710210671000510227771000390232871101930236777601560256085600430271685600470275919574217RPAM20210728142548.0a b 101 0 cr/|||||||||||210728s2017 riu ob 101 0 eng  a9781470441920 (online) aDLCbengcDLCerdadDLCdRPAM00aQA612.7b.L5768 201700a515/.7223 a46L35a46L05a46L802msc1 aLin, Huaxin,d1956-10aFrom the basic homotopy lemma to the classification of C*-algebras /h[electronic resource] cHuaxin Lin. 1aProvidence, Rhode Island :bPublished for the Conference Board of the Mathematical Sciences by the American Mathematical Society,c[2017] a1 online resource (vi, 240 pages) atextbtxt2rdacontent aunmediatedbn2rdamedia avolumebnc2rdacarrier0 aCBMS Regional Conference Series in Mathematics, x2380-5668 ; vv. 124 a"Conference Board of the Mathematical Sciences." a"Support from the National Science Foundation." a"NSF-CBMS Regional Conference in the Mathematical Sciences on the Basic Homotopy Lemma, the Asymptotic Uniqueness Theorem, and Classification of C*-Algebras, held at the University of Wyoming, June 8--12, 2015." aIncludes bibliographical references (pages 233-238) and index.00tAn overview of the Elliott programtAn introduction to the Basic Homotopy LemmatMaps to finite dimensional $C^*$-algebrastStable homotopy lemmastThe Basic Homotopy Lemma, finite dimensional casest$C^*$-algebras of generalized tracial rank onetMore Basic Homotopy LemmastAsymptotic unitary equivalencetClassification of simple $C^*$-algebras of finite rank1 aAccess is restricted to licensed institutions aElectronic reproduction.bProvidence, Rhode Island :cAmerican Mathematical Society.d2017 aMode of access : World Wide Web aDescription based on print version record. 0aHomotopy theory. 0aHomotopy theoryvProblems, exercises, etc. 0aC*-algebras. 0aC*-algebrasvProblems, exercises, etc. 7aFunctional analysis -- Selfadjoint operator algebras (C*-algebras, von Neumann (W*-) algebras, etc.) -- Classifications of C*-algebras.2msc 7aFunctional analysis -- Selfadjoint operator algebras (C*-algebras, von Neumann (W*-) algebras, etc.) -- General theory of C*-algebras.2msc 7aFunctional analysis -- Selfadjoint operator algebras (C*-algebras, von Neumann (W*-) algebras, etc.) -- K-theory and operator algebras (including cyclic theory).2msc2 aConference Board of the Mathematical Sciences.2 aNational Science Foundation (U.S.)2 aNSF-CBMS Regional Conference in the Mathematical Sciences on the Basic Homotopy Lemma, the Asymptotic Uniqueness Theorem, and Classification of C*-Algebrasd(2015 :cUniversity of Wyoming)0 iPrint version: aLin, Huaxin, 1956-tFrom the basic homotopy lemma to the classification of C*-algebras /w(DLC) 2017014769x0160-7642z97814704349084 3Contentsuhttps://www.ams.org/cbms/1244 3Contentsuhttps://doi.org/10.1090/cbms/124