Results 11 to 20 of about 235 (37)
On Conjugacy of MASAs and the Outer Automorphism Group of the Cuntz Algebra [PDF]
, 2013 We investigate the structure of the outer automorphism group of the Cuntz algebra and the closely related problem of conjugacy of MASAa in O_n. In particular, we exhibit an uncountable family of MASAs, conjugate to the standard MASA D_n via Bogolubov ...
Conti, Roberto +2 more
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On Invariant MASAs for Endomorphisms of the Cuntz Algebras [PDF]
, 2010 The problem of existence of standard (i.e. product-type) invariant MASAs for endomorphisms of the Cuntz algebra O_n is studied. In particular endomorphisms which preserve the canonical diagonal MASA D_n are investigated.
Hong, Jeong Hee +2 more
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2-local derivations on semi-finite von Neumann algebras
, 2012 In the present paper we prove that every 2-local derivation on a semi-finite von Neumann algebra is a derivation.Comment: 3 ...
FARKHAD ARZIKULOV, Sh., SHAVKAT AYUPOV
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Automorphisms of the UHF algebra that do not extend to the Cuntz algebra
, 2010 Automorphisms of the canonical core UHF-subalgebra F_n of the Cuntz algebra O_n do not necessarily extend to automorphisms of O_n. Simple examples are discussed within the family of infinite tensor products of (inner) automorphisms of the matrix algebras
Cuntz, Evans, Power, ROBERTO CONTI
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Class-preserving automorphisms of universal hyperlinear groups [PDF]
, 2013 We show that the group of class-preserving automorphisms of a universal hyperlinear group has index 2 inside the group of all automorphisms.Comment: 4 ...
Lupini, Martino
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Noncommutative geometry of algebraic curves
, 2009 A covariant functor from the category of generic complex algebraic curves to a category of the AF-algebras is constructed. The construction is based on a representation of the Teichmueller space of a curve by the measured foliations due to Douady ...
Nikolaev, Igor
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Automorphisms of central extensions of type I von Neumann algebras
, 2011 Given a von Neumann algebra $M$ we consider the central extension $E(M)$ of $M.$ For type I von Neumann algebras $E(M)$ coincides with the algebra $LS(M)$ of all locally measurable operators affiliated with $M.$ In this case we show that an arbitrary ...
Albeverio, S. +3 more
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2-Local derivations on algebras of locally measurable operators [PDF]
, 2012 The paper is devoted to 2-local derivations on the algebra $LS(M)$ of all locally measurable operators affiliated with a type I$_\infty$ von Neumann algebra $M.$ We prove that every 2-local derivation on $LS(M)$ is a derivation.Comment: arXiv admin note:
Alauadinov, A. K. +2 more
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On embedding of the Bratteli diagram into a surface
, 2008 We study C*-algebras O_{\lambda} which arise in dynamics of the interval exchange transformations and measured foliations on compact surfaces. Using Koebe-Morse coding of geodesic lines, we establish a bijection between Bratteli diagrams of such algebras
E.A. Sataev +12 more
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2-local triple derivations on von Neumann algebras [PDF]
, 2014 We prove that every {\rm(}not necessarily linear nor continuous{\rm)} 2-local triple derivation on a von Neumann algebra $M$ is a triple derivation, equivalently, the set Der$_{t} (M)$, of all triple derivations on $M,$ is algebraically 2-reflexive in ...
Kudaybergenov, Karimbergen +3 more
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