KEUNIKAN GAUGE-INVARIANT PADA ALJABAR GRAF

Handayani, Rosalina (2016) KEUNIKAN GAUGE-INVARIANT PADA ALJABAR GRAF. S1 thesis, Universitas Pendidikan Indonesia.

Abstract

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

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Item Type:	Thesis (S1)
Additional Information:	No. Panggil : S MAT HAN k-2016; Pembimbing : I. Rizky Rosjanuardi, II. Isnie Yusnitha
Uncontrolled Keywords:	graf, keluarga Cuntz-Krieger, aksi kontinu, isomorfisma.
Subjects:	Q Science > QA Mathematics
Divisions:	Fakultas Pendidikan Matematika dan Ilmu Pengetahuan Alam > Program Studi Matematika - S1
Depositing User:	Mrs. Neni Sumarni
Date Deposited:	12 Oct 2017 03:40
Last Modified:	12 Oct 2017 03:40
URI:	http://repository.upi.edu/id/eprint/27034

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