Results 1 to 10 of about 19,963,404 (159)

The Crossed Product of Finite Hopf C*-Algebra and C*-Algebra

open access: yesMathematics, 2021
Let H be a finite Hopf C*-algebra and A a C*-algebra of finite dimension. In this paper, we focus on the crossed product A⋊H arising from the action of H on A, which is a ∗-algebra.
Xiaomin Wei, Lining Jiang, Dianlu Tian
doaj   +2 more sources

On the derivations of cyclic Leibniz algebras

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2022
Let $L$ be an algebra over a field $F$. Then $L$ is called a left Leibniz algebra, if its multiplication operation $[-,-]$ additionally satisfies the so-called left Leibniz identity: $[[a,b],c]=[a,[b,c]]-[b,[a,c]]$ for all elements $a,b,c\in L$. A linear
M.M. Semko, L.V. Skaskiv, O.A. Yarovaya
doaj   +1 more source

Algebra of quantum C $$ \mathcal{C} $$ -polynomials

open access: yesJournal of High Energy Physics, 2021
Knot polynomials colored with symmetric representations of SL q (N) satisfy difference equations as functions of representation parameter, which look like quantization of classical A $$ \mathcal{A} $$ -polynomials.
Andrei Mironov, Alexei Morozov
doaj   +1 more source

On the derivations of Leibniz algebras of low dimension

open access: yesДоповiдi Нацiональної академiї наук України, 2023
Let L be an algebra over a field F. Then L is called a left Leibniz algebra if its multiplication operations [×, ×] addition- ally satisfy the so-called left Leibniz identity: [[a,b],c] = [a,[b,c]] – [b,[a,c]] for all elements a, b, c Î L. In this paper,
L.A. Kurdachenko   +2 more
doaj   +1 more source

Stability of ¤-derivations on Lie C¤-algebras

open access: yesJOURNAL OF ADVANCES IN PHYSICS, 2014
In this paper, we investigate the stability and superstability problems for ¤-derivationsassociated with the generalized Jensen type functional equation on Lie C¤-algebras.
Soo Hwan Kim, Ga Ya Kim, Seong Sik Kim
openaire   +1 more source

Fuzzy Fixed Point Results in Convex C∗-Algebra-Valued Metric Spaces

open access: yesJournal of Function Spaces, 2022
The purpose of this note is to come up with some new directions in fuzzy fixed point theory. To this effect, notions of a C∗-algebra-valued fuzzy λ-contraction and related concepts in a convex C∗-algebra-valued metric space (C∗-AVMS) are set-up.
Mohammed Shehu Shagari   +3 more
doaj   +1 more source

Separable injectivity and C*-tensor products

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1991
Let A and B be C*-algebras and let D be a C*-subalgebra of B. We show that if D is separably injective then the triple (A,B,D) verifies the slice map conjecture. As an application, we prove that the minimal C*-tensor product A⊗B is separably injective if
Tadasi Huruya, Seung-Hyeok Kye
doaj   +1 more source

Characterization of Directed Graphs Representing C*-Algebra of Complex Matrices [PDF]

open access: yesE3S Web of Conferences
Quantum mechanics is a study that plays a major role in determining the biological intelligence of Artificial Intelligence (AI). Point particle systems in quantum mechanics can be explained using C*-Algebra which is called CAR-algebra. There is a special
Hidayat Wahyu, Herlinawati Elin
doaj   +1 more source

Unordered Tuples in Quantum Computation [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2015
It is well known that the C*-algebra of an ordered pair of qubits is M_2 (x) M_2. What about unordered pairs? We show in detail that M_3 (+) C is the C*-algebra of an unordered pair of qubits. Then we use Schur-Weyl duality to characterize the C*-algebra
Robert Furber, Bas Westerbaan
doaj   +1 more source

On the K-theory of the C*-algebra associated with a one-sided shift space; pp. 272–279 [PDF]

open access: yesProceedings of the Estonian Academy of Sciences, 2010
One-sided shift spaces are a special kind of non-invertible topological dynamical system with which one can associate a C*-algebra. We show how to construct the C*-algebra associated with a one-sided shift space as the Cuntz–Pimsner C*-algebra of a C ...
Toke Meier Carlsen, Sergei Silvestrov
doaj   +1 more source

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