C*-Algebras and their Automorphism Groups
DOI10.1016/C2016-0-03431-9zbMath1460.46001OpenAlexW2962895588WikidataQ60236404 ScholiaQ60236404MaRDI QIDQ5367114
Publication date: 12 October 2017
Full work available at URL: https://doi.org/10.1016/c2016-0-03431-9
weightscrossed productsGNS-constructioncyclic representationsconvexitydualityrepresentationsautomorphism groupstypespectral analysispure statestracesKadison's transitivity theoremclassification of factorsTomita-Takesaki theoryKaplansky density theoremDauns-Hofmann theorempositive partArveson spectrum$C^*$-algebrasantisymmetric Riesz decomposition theoremdisintegration theory of statesessential spectrum of ConnesGelfand representation theoremJocobson topologynon-commutative analogue of Borel spacesRieffel-Van Daele approachuniversal enveloping von Neumann algebravon Neumann bi-commutant theoremautomatic continuity of $^*$-homomorphismsBorel $^*$-algebrasnon-commutative Lusin theorem
General theory of von Neumann algebras (46L10) Axiomatic quantum field theory; operator algebras (81T05) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05) Noncommutative measure and integration (46L51) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) States of selfadjoint operator algebras (46L30) Automorphisms of selfadjoint operator algebras (46L40) Classification of factors (46L36)
Related Items (41)
This page was built for publication: C*-Algebras and their Automorphism Groups