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E STORMER On the structure theory of factors 1 Introduction 2 Infinitetensor products 3 Asymptotically Abelian Calgebras W KRIEGER On th...
Injective operator algebras L ACCARDI On square roots of measures Introduction 1 Construction of the space 3 2
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algebra & acting algebra of type analytic asymptotic Abelianness automorphism group bounded C*-algebra Co-family commutant compact conjugate CoNNEs converges Corollary crossed product cyclic and separating cyclic vector defined Definition denote dense derivation domain dual equilibrium equivalent ergodic exists factor of type faithful normal follows hence Hilbert space holomorphic implies infinite invariant isomorphism KMS condition left inverse Lemma Let Q linear functional linear operator Math morphism Neumann algebra norm one-parameter group orthogonal partial isometry polar decomposition projection proof of Theorem Proposition prove Radon-Nikodym theorem representation satisfies self-adjoint operator semi-finite normal separating and cyclic separating vector Spec strongly continuous subset subspace TAKESAKI tensor product Tomita-Takesaki theory topology unique unit vector unitary unitary operator von Neumann algebra weak-operator weakly