Results 1 to 10 of about 214 (18)
Matrices induced by arithmetic functions, primes and groupoid actions of directed graphs
Special Matrices, 2015 In this paper, we study groupoid actions acting on arithmetic functions. In particular, we are interested in the cases where groupoids are generated by directed graphs. By defining an injective map α from the graph groupoid G of a directed graph G to the
Cho Ilwoo, Jorgensen Palle E. T.
doaj +1 more source
Matrices induced by arithmetic functions acting on certain Krein spaces
Special Matrices, 2017 In this paper, we study matrices induced by arithmetic functions under certain Krein-space representations induced by (multi-)primes less than or equal to fixed positive real numbers.
Cho Ilwoo
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On a problem of commutativity of automorphims
International Journal of Mathematics and Mathematical Sciences, Volume 21, Issue 2, Page 411-412, 1998., 1998 In this note we provide a partial answer to a problem proposed by M. Brehr. We prove that if α, β are automorphisms of a commutative prime ring of characteristic not equal to 2 satisfying the equation α + α−1 = β + β−1, then either α = β or α = β−1. As a consequence α and β commute and in this situation the equation itself ensures the commutativity of ...
M. Anwar Chaudhry, A. B. Thaheem
wiley +1 more source
Krein-space operators determined by free product algebras induced by primes and graphs
Special Matrices, 2017 In this paper, we introduce certain Krein-space operators induced by free product algebras induced by both primes and directed graphs. We study operator-theoretic properties of such operators by computing free-probabilistic data containing number ...
Cho Ilwoo, Jorgensen Palle E. T.
doaj +1 more source
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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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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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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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
core +3 more sources
On diagonal quasi-free automorphisms of simple Cuntz-Krieger algebras
, 2018 We show that an outer action of a finite abelian group on a simple Cuntz-Krieger algebra is strongly approximately inner in the sense of Izumi if the action is given by diagonal quasi-free automorphisms and the associated matrix is aperiodic.
Barlak, Selçuk, Szabó, Gábor
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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
core