Automorphisms of operator algebras semantic scholar. Each derivation a of a calgebra f acting on the hilbert space sc is spatial. Martingaletype convergence of modular automorphism groups on. Jones 1 october 1, 2009 1supportedinpartbynsfgrantdms9322675,themarsdenfunduoa520, andtheswissnationalsciencefoundation. There are many groups with these properties, as any locally finite group is amenable. Each derivation a of a c algebra f acting on the hilbert space sc is spatial. Equivalently, the center of mis trivial and mis called a factor. Commutation properties of automorphism groups and mappings. Let abe a unital banach algebra and suppose x2asuch that. If there exists a projection e of stf such that ge. Given t 2m with xed properties, what operators may e at be. Por julian lopezgomez autor en algebra, matematica. Avonneumannalgebraaissaid tobeabelianifts stforalls. We study this time flow, its classical limit, and we relate it to various characteristic theoretical facts.
Then there exists a strongly continuous oneparameter unitary group. Unitary groups and automorphisms of operator algebras jstor. The case of wedge localization bert schroerrecent citations the emergence of time roberto longogravitational. Algebraic multiplicity of eigenvalues of linear operators. Centrally ergodic oneparameter automorphism groups on. Annals of mathematics university of california, irvine. In calgebras and their automorphism groups second edition, 2018. Kallman massachusetts institute of technology, cambridge, massachusetts 029 received june 26, 1969 let be a c algebra with identity on the separable hubert space h. Show that the automorphism of vnf2 coming from the. Martingaletype convergence of modular automorphism. It is first shown that a automorphism of a factor is inner if and only if it is asymptotically equal to the identity automorphism.
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