LEADER 02499nam 2200589 450 001 996466616303316 005 20220819102208.0 010 $a3-540-46903-6 024 7 $a10.1007/BFb0090178 035 $a(CKB)1000000000437393 035 $a(SSID)ssj0000327496 035 $a(PQKBManifestationID)12097421 035 $a(PQKBTitleCode)TC0000327496 035 $a(PQKBWorkID)10301549 035 $a(PQKB)10416939 035 $a(DE-He213)978-3-540-46903-2 035 $a(MiAaPQ)EBC5579693 035 $a(Au-PeEL)EBL5579693 035 $a(OCoLC)1066194605 035 $a(MiAaPQ)EBC6812364 035 $a(Au-PeEL)EBL6812364 035 $a(OCoLC)1159617106 035 $a(PPN)155218514 035 $a(EXLCZ)991000000000437393 100 $a20220819d1989 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aUniqueness of the injective III1 factor /$fSteve Wright 205 $a1st ed. 1989. 210 1$aBerlin ;$aHeidelberg :$cSpringer-Verlag,$d1989. 215 $a1 online resource (VI, 114 p.) 225 1 $aLecture Notes in Mathematics ;$vVolume 1413 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-540-52130-5 330 $aBased on lectures delivered to the Seminar on Operator Algebras at Oakland University during the Winter semesters of 1985 and 1986, these notes are a detailed exposition of recent work of A. Connes and U. Haagerup which together constitute a proof that all injective factors of type III1 which act on a separable Hilbert space are isomorphic. This result disposes of the final open case in the classification of the separably acting injective factors, and is one of the outstanding recent achievements in the theory of operator algebras. The notes will be of considerable interest to specialists in operator algebras, operator theory and workers in allied areas such as quantum statistical mechanics and the theory of group representations. 410 0$aLecture notes in mathematics (Springer-Verlag) ;$vVolume 1413. 606 $aVon Neumann algebras 606 $aFactors (Algebra) 615 0$aVon Neumann algebras. 615 0$aFactors (Algebra) 676 $a512.55 700 $aWright$b Steve$g(Steve J.),$01253541 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996466616303316 996 $aUniqueness of the injective III1 factor$92906388 997 $aUNISA