Results 1 to 10 of about 39 (27)
Labeled trees and localized automorphisms of the Cuntz algebras [PDF]
, 2008 We initiate a detailed and systematic study of automorphisms of the Cuntz algebras On which preserve both the diagonal and the core UHF-subalgebra. A general criterion of invertibility of endomorphisms yielding such automorphisms is given.
R. Conti, W. Szymański
semanticscholar +1 more source
n-fold Jordan product commuting maps with a λ-Aluthge transform
, 2020 Let B(H) be the set of all bounded linear operators from H to H , where H is a complex Hilbert space. In this paper, we study the properties of T when the λ -Aluthge transform of Tn is T . Also we prove that the bijective map Φ : B(H) →B(K) commutes with
Youn in Kim, Eungil Ko
semanticscholar +1 more source
Fourier Invariant Partially Approximating Subalgebras of the Irrational Rotation C*‐Algebra [PDF]
, 2001 For a dense Gδ‐set of parameters, the irrational rotation algebra is shown to contain infinitely many C*‐subalgebras satisfying the following properties.
S. Walters
semanticscholar +1 more source
Fell bundles over groupoids [PDF]
, 1996 We study the C*-algebras associated to Fell bundles over groupoids and give a notion of equivalence for Fell bundles which guarantees that the associated C*-algebras are strong Morita equivalent.
A. Kumjian
semanticscholar +1 more source
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
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
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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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.
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Multiplicative isomorphisms at invertible matrices
, 2014 Let Mn be the algebra of all n n matrices with entries in the field of real numbers. For a matrix Z 2Mn, it is said that a linear map T WMn!Mn is multiplicative at Z if T .AB/D T .A/T .B/ whenever AB DZ.
A. Armandnejad, M. Jamshidi
semanticscholar +1 more source
Publicationes mathematicae (Debrecen), 2005 It is known that the automorphisms of the Hilbert space effect algebras equipped with Jordan triple product, where Hilbert space is of dimension not less than three, are implemented by unitary or antiunitary operators.
J. Marovt, T. Petek
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