KEUNIKAN GAUGE-INVARIANT PADA ALJABAR GRAF

• Main Author: Handayani, Rosalina (Author)
• Format: Book
• Published: 2016-04-26.
• Subjects: Thesis; NonPeerReviewed
• Online Access: Link Metadata

Summary

Diberikan graf berarah berhingga baris E serta aljabar-C^* A dan B. Misalkan {s,p} merupakan keluarga Cuntz-Krieger-E di aljabar-C^* A dan {T,Q} merupakan keluarga Cuntz-Krieger-E di aljabar-C^* B. Selanjutnya aljabar-C^* yang dibangun oleh {s,p} dinotasikan dengan C^* (E), dan aljabar-C^* yang dibangun oleh {T,Q} dinotasikan dengan C^* (T,Q). Pada skripsi ini dibahas bahwa jika terdapat aksi kontinu β∶ T⟶Aut B sedemikian sehingga β_z (T_e )=zT_e dan β_z (Q_v )=Q_v di keluarga Cuntz-Krieger-E {T,Q} dengan Q_v≠0, maka π_(T,Q) adalah isomorfisma dari C^* (E) ke C^* (T,Q). Kata Kunci: graf, keluarga Cuntz-Krieger, aksi kontinu, isomorfisma. Let E be a row finite directed graph and C^*-algebra A and B. Suppose that {s,p} is a Cuntz-Krieger E-family in C^*-algebra A and {T,Q} is a Cuntz-Krieger E-family in C^*-algebra B. We denote the C^*-algebra generated by the family {s,p} as C^* (E), and the C^*-algebra generated by the family {T,Q} as C^* (T,Q). In this bachelor thesis it is discussed when there is a continuous action β∶ T⟶Aut B such that β_z (T_e )=zT_e and β_z (Q_v )=Q_v in Cuntz-Krieger E-family {T,Q} with each Q_v≠0, then π_(T,Q) is an isomorphism of C^* (E) onto C^* (T,Q). Key Word: graph, Cuntz-Krieger families, continuous action, isomorphism

Item Description

http://repository.upi.edu/27034/1/S_MAT_1203127_Title.pdf
http://repository.upi.edu/27034/2/S_MAT_1203127_Abstract.pdf
http://repository.upi.edu/27034/3/S_MAT_1203127_Table_of_content.pdf
http://repository.upi.edu/27034/4/S_MAT_1203127_Chapter1.pdf
http://repository.upi.edu/27034/5/S_MAT_1203127_Chapter2.pdf
http://repository.upi.edu/27034/6/S_MAT_1203127_Chapter3.pdf
http://repository.upi.edu/27034/7/S_MAT_1203127_Chapter4.pdf
http://repository.upi.edu/27034/8/S_MAT_1203127_Chapter5.pdf
http://repository.upi.edu/27034/9/S_MAT_1203127_Bibliography.pdf
http://repository.upi.edu/27034/10/S_MAT_1203127_Appendix.pdf