Dimension groups for subshifts and simplicity of the associated C^*-algebras
スポンサーリンク
概要
- 論文の詳細を見る
We describe the notion of the dimension group for subshifts in terms of symbolic dynamical system and show that the dimension group is a conjugacy invariant. We will show that the the hereditary subsets invariant under the dimension group au-tomorphism exactly corresponds to the gauge invariant ideals of the associated C<SUP>*</SUP>-algebra \mathcal{O}<SUB>Λ</SUB> for the subshift (Λ, σ). As a result, we give the conditions that the C<SUP>*</SUP>-algebra \mathcal{O}<SUB>Λ</SUB> becomes simple and purely infinite in terms of symbolic dynamics.
- 社団法人 日本数学会の論文
著者
-
Matsumoto Kengo
Department Of Cardiology National Hospital Organization Kure Medical Center
-
Matsumoto Kengo
Department Of Mathematics Joetsu University Of Education
関連論文
- PE-511 An Effect of Japanese Recipes of the DASH Diet on Blood Pressure, Glucose and Metabolism(Hypertension, clinical-07, The 71st Annual Scientific Meeting of the Japanese Circulation Society)
- PJ-693 The Prelevance of Metabolic Syndrome for Coronary Artery Disease(CAD)(Diabetes/Obesity/Metabolic syndrome-13 (H) PJ116,Poster Session (Japanese),The 70th Anniversary Annual Scientific Meeting of the Japanese Circulation Society)
- PJ-379 Impact of Plasma Adiponectin Concentration on Coronary Artery Disease in Japanese Type 2 Diabetic Subjects(Diabetes/Obesity/Metabolic syndrome-9 (H) PJ64,Poster Session (Japanese),The 70th Anniversary Annual Scientific Meeting of the Japanese Circu
- OE-060 Apo B-48 Is a Good Marker for Coronary Risk and Impaired Metabolism of Chylomicron Remnants in Subjects with Metabolic Syndrome(Lipid disorders-1 (H) OE10,Oral Presentation (English),The 70th Anniversary Annual Scientific Meeting of the Japanese Ci
- PJ-678 The Effect of Adiponectin on the Severity of Coronary Artery Disease(Diabetes / Obesity / Metabolic syndrome(14)(H),Poster Session(Japanese),The 72nd Annual Scientific Meeting of the Japanese Circulation Society)
- Marked Differences In Visceral Fat Accumulation-Related Cardiovascular Risk Factors between Young and Elderly Patientswith Coronary Artery Disease
- Adiponectin is a Predictive Visceral Fat Accumulation-Related Cardiovascular Risk Factor
- IS118 Reduced Secretion of Tumor Necrosis Factor-a and Interleukin-1b from Monocyte-Macrophages of CD36-Deficient Subjects
- Periodic distributions on C^*-algebras
- Proliferative Potential and Apoptosis in Rat Glioma Cell Lines after Hyperthermia
- Intraparenchymal Metastatic Tumor with Periventricular Dissemination : Case Report
- New Method for the Evaluation of the Response of Cultured Cell Lines to Continuous Low-dose-rate Irradiation from Encapsulated Iridium-192 Seeds with Hyperthermia
- Thermal Damage Threshold of Brain Tissue : Histological Study of Heated Normal Monkey Brains
- Induction of Resistance to Etoposide and Adriamycin in a Human Glioma Cell Line Treated with Antisense Oligodeoxynucleotide Complementary to the Messenger Ribonucleic Acid of Deoxyribonucleic Acid Topoisomerase IIα
- Combined Brachytherapy and External Beam Radiotherapy in Normal Monkey Brains : Experimental Radiation Necrosis Evaluated by Sequential Magnetic Resonance Imaging
- Combination of Serum Adiponectin Level and Metabolic Syndrome is Closely Associated with Coronary Artery Disease in Japanese Subjects with Good Glycemic Control
- Non-commutative lens spaces
- Effect of Adjuvant Iridium-192 Brachytherapy on the Survival of Patients with Malignant Gliomas
- Factors Influencing the Recurrence Rate of Intracranial Meningiomas after Surgery
- Pineocytoma With Massive Intratumoral Hemorrhage After Ventriculoperitoneal Shunt : Case Report
- Resection of Deep-seated Gliomas Using Neuroimaging for Stereotactic Placement of Guidance Catheters
- Acute Effects of Interstitial Hyperthermia on Normal Monkey Brain : Magnetic Resonance Imaging Appearance and Effects on Blood-Brain Barrier
- Preliminary Results of Interstitial ^<192>Ir Brachytherapy for Malignant Gliomas
- Distributions associated with $C^\ast$-dynamical systems
- Metastasis of renal cell carcinoma to central nervous system hemangioblastoma in two patients with von Hippel-Lindau disease
- Dimension groups for subshifts and simplicity of the associated C^*-algebras
- Hemifacial Spasm Due to Cerebellopontine Angle Epidermoid Tumor : Case Report
- Shannon graphs, subshifts and lambda-graph systems
- Non-commutative three dimensional spheres