Jeong Hee Hong
Sungkyunkwan University · Mathematics
About the Lab
Professor Jeong Hee Hong's research lab specializes in operator algebras and noncommutative geometry, with a primary focus on C*-algebras associated with graphs and quantum spaces. The lab investigates the structure and classification of generalized Cuntz–Krieger algebras, including their primitive ideal spaces, purely infinite properties, and real rank zero conditions. Additionally, the lab explores quantum topological spaces such as quantum lens spaces and their C*-algebraic descriptions through group actions and graph constructions.
Research Overview
Research Output Trend
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Selected Papers
15We construct the C * -algebra C(L q (p; m 1 , . . . , m n )) of continuous functions on the quantum lens space as the fixed point algebra for a suitable action of Z p on the algebra C(S 2n-1 q ), corresponding to the quantum odd dimensional sphere. We show that C(L q (p; m 1 , . . . , m n )) is isomorphic to the graph algebra C * L (p;m1,...,mn)
Abstract. For any countable directed graph E we describe the primitive ideal space of the corresponding generalized Cuntz-Krieger algebra C ∗ (E). The primary purpose of this article is to give a description of the primitive ideal space of the C ∗-algebra C ∗ (E) corresponding to an arbitrary countable directed graph E. The two main results of the article, Theorem 2.10 (together with Corollary 2.11) and Theorem 3.4, identify elements of Prim(C ∗ (E)) and describe the closure operation in the hul
This study aimed to compare the fatigue, quality of life, turnover intention, and safety incident frequency between 2- and 3-shift nurses, and analyze their perceptions of the 2-shift system. Participants were 227 nurses working for one year or more in a tertiary hospital in Seoul, South Korea (113 were 2-shift nurses for two months or longer, and 114 were 3-shift nurses with no experience of 2-shift work). The Occupational Fatigue Exhaustion Recovery Scale (OFER) and Quality of Life Scale were
본 연구에서는 곶감, 생감 및 감잎의 메탄올 추출물을 제조한 후 이들의 생리활성을 검색하였다. 총 폴리페놀 함량은 곶감, 생감 및 감잎 각각 147.79, 301.45 및 315.90 μg/mg으로 생감 및 감잎에 폴리페놀 함량이 곶감에 비해 유의적으로 많았다. 감잎의 경우 폴리페놀 함량에 비례하여 DPPH radical 소거활성, 지질과산화 억제효과 및 salivary α-amylase 저해활성이 증가되었다. 항암활성도 폴리페놀 함량이 높은 생감 및 감잎추출물이 위암 세포인 AGS에 대해 65~70%의 높은 저해율을 나타내었다. 그러나 폴리페놀 함량에 차이가 있는 곶감과 생감의 경우 free radical 소거능 및 salivary α-amylase 저해활성은 유의적인 차이가 없었다. 또한, 항고혈압 활성은 곶감, 생감 및 감잎 추출물 모두 80% 이상의 높은 저해활성을 나타내었다. 항균활성은 감잎 추출물의 항균력은 나타나지 않았으나, 곶감 및 생감의 경우 E. coli O157:
For arbitrary infinite directed graphs E, the characterisation of the (not necessarily simple) Cuntz–Krieger algebras C*(E) which are purely infinite in the sense of Kirchberg–Rørdam is given. It is also shown that C*(E) has real rank zero if and only if the graph E satisfies Condition (K). 2000 Mathematics Subject Classification 46L05.
The Functional Assessment of Cancer Therapy-Prostate (FACT-P) questionnaire is a relevant, worldwide tool used for assessing the health-related quality of life in men with prostate cancer. The purpose of this study was to translate the FACT-P into Korean, to assess its reliability and validity, and to test its discriminative ability between the cancer patients and normal controls. The Korean version was developed via the FACT multilingual translation project. The translated questionnaire was sel
Noncommutative analogues of n-dimensional balls are defined by repeated application of the quantum double suspension to the classical low-dimensional spaces. In the ‘even-dimensional’ case they correspond to the twisted canonical commutation relations of Pusz and Woronowicz. Then quantum spheres are constructed as double manifolds of noncommutative balls. Both C*-algebras and polynomial algebras of the objects in question are defined and analysed, and their relations with previously known exampl
Although the number of patients in this study was small, it appears that endoscopic ureteroureterostomy with a Ho:YAG laser may constitute a valuable option for the treatment of complete short ureteral obstructions.
We consider a product system over the multiplicative semigroup N^x of Hilbert bimodules which is implicit in work of S. Yamashita and of the second named author. We prove directly, using universal properties, that the associated Nica-Toeplitz algebra is an extension of the C^*-algebra Q_N introduced recently by Cuntz.
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. Conditions on a unitary in O_n equivalent to the fact that the corresponding endomorphism preserves D_n are found, and it is shown that they may be satisfied by unitaries which do not normalize D_n. Unitaries giving rise to endomorphisms which leave all standard MASAs invariant
Purpose: We evaluated the predictors of biochemical recurrence(BCR) and clinical progression in order to stratify the risk of developing biologically significant disease following radical perineal prostatectomy(RPP). Materials and Methods: Retrospective data was collected on 198 patients who underwent RPP for the treatment of clinically localized prostate cancer between June 1995 and October 2003. With multivariate analysis using a Cox regression test, several clinical and pathological variables
Research Areas
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