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pro vyhledávání: '"Kang, Eun Ji"'
Autor:
Kang, Eun Ji
We characterize the canonical diagonal subalgebra of the C*-algebra associated with a generalized Boolean dynamical system. We also introduce a particular commutative subalgebra, which we call the abelian core, in our C*-algebra. We then establish a
Externí odkaz:
http://arxiv.org/abs/2311.03673
Publikováno v:
J. Math. Anal. Appl. 534 (2024), 1--13
We study the natural representation of the topological full group of an ample Hausdorff groupoid in the groupoid's complex Steinberg algebra and in its full and reduced C*-algebras. We characterise precisely when this representation is injective and
Externí odkaz:
http://arxiv.org/abs/2309.04927
Autor:
Carlsen, Toke Meier, Kang, Eun Ji
We prove a version of the Cuntz--Krieger Uniqueness Theorem for $C^*$-algebras of arbitrary relative generalized Boolean dynamical systems. We then describe properties of a $C^*$-algebra of a relative generalized Boolean dynamical system when the und
Externí odkaz:
http://arxiv.org/abs/2305.09232
Autor:
Kang, Eun Ji
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 October 2024 538(1)
Autor:
de Castro, Gilles G., Kang, Eun Ji
In this paper, we realize C*-algebras of generalized Boolean dynamical systems as partial crossed products. Reciprocally, we give some sufficient conditions for a partial crossed product to be isomorphic to a C*-algebra of a generalized Boolean dynam
Externí odkaz:
http://arxiv.org/abs/2202.02008
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 June 2024 534(1)
Autor:
de Castro, Gilles G., Kang, Eun Ji
In this paper, we provide two types of boundary path groupoids from a generalized Boolean dynamical system $(\mathcal{B},\mathcal{L}, \theta, \mathcal{I}_{\alpha})$. For the first groupoid, we associate an inverse semigroup to a generalized Boolean d
Externí odkaz:
http://arxiv.org/abs/2106.09366
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Autor:
Carlsen, Toke Meier, Kang, Eun Ji
Publikováno v:
J. Math. Anal. Appl. 488 (2020)
We enlarge the class of $C^*$-algebras of Boolean dynamical systems in order to include all weakly left-resolving normal labelled space $C^*$-algebras in it. We prove a gauge-invariant uniqueness theorem and classify all gauge-invariant ideals of the
Externí odkaz:
http://arxiv.org/abs/1911.12172
Autor:
Carlsen, Toke Meier, Kang, Eun Ji
Publikováno v:
J. Aust. Math. Soc. 112 (2022) 145-169
We generalize Condition (K) from directed graphs to Boolean dynamical systems and show that a locally finite Boolean dynamical system $(\mathcal{B},\mathcal{L},\theta)$ with countable $\mathcal{B}$ and $\mathcal{L}$ satisfies Condition (K) if and onl
Externí odkaz:
http://arxiv.org/abs/1911.08238