KONDISI (L) DAN KONDISI (K) PADA ALJABAR GRAF

• Main Author: Taufiquzzaman, Ni'matullah (Author)
• Format: Book
• Published: 2015-06-27.
• Subjects: Thesis; NonPeerReviewed
• Online Access: Link Metadata
• Notes: http://repository.upi.edu/22370/1/S_MAT_1000131_Title.pdf; http://repository.upi.edu/22370/2/S_MAT_1000131_Abstract.pdf; http://repository.upi.edu/22370/3/S_MAT_1000131_Table_of_content.pdf; http://repository.upi.edu/22370/4/S_MAT_1000131_Chapter1.pdf; http://repository.upi.edu/22370/5/S_MAT_1000131_Chapter2.pdf; http://repository.upi.edu/22370/6/S_MAT_1000131_Chapter3.pdf; http://repository.upi.edu/22370/7/S_MAT_1000131_Chapter4.pdf; http://repository.upi.edu/22370/8/S_MAT_1000131_Chapter5.pdf; http://repository.upi.edu/22370/9/S_MAT_1000131_Bibliography.pdf
• Keywords: L Education (General); QA Mathematics

Untuk graf berarah E, aljabar graf C^* (E) adalah bentuk umum dari aljabar-C^* dibangun oleh proyeksi ortogonal dan isometri parsial yang dikaitkan dengan titik-titik dan sisi-sisi pada graf E dan memenuhi persamaan Cuntz-Krieger. Kita sebut graf berarah E memenuhi kondisi (L) jika setiap cycle di E memiliki entri. Suatu graf berarah E dikatakan memenuhi kondisi (K) jika setiap titik dari graf E tidak memuat cycle atau terdapat dua cycle. Tujuan kita adalah melihat sifat dari aljabar graf C^* (E) jika graf berarah E memenuhi kondisi (L) ataupun kondisi (K). Kata kunci : Aljabar-C^*, proyeksi ortogonal, isometri parsial, graf berarah, aljabar graf, kondisi (L), kondisi (K). For a directed graph E, the graph algebra C^* (E) is the universal C^*-algebra generated by projection and partial isometris satisfying Cuntz-Krieger relations. We say the graph E satisfies condition (L) if every cycle in E has an entry. We say the graph E satisfies condition (K) if every vertex of graph E there is no cycle or there are two cycle based at that. Our goal is to see charactersitic of graph algebra C^* (E) if directed graph E satisfies condition (L) either or condition (K). Key word : C^*-Algebra, orthogonal projection, partial isometric, directed graph, graph algebra, condition (L), condition (K).