KAITAN ANTARA ALJABAR CUNTZ-KRIEGER O_A DAN ALJABAR CUNTZ-KRIEGER DARI GRAF E
Diberikan n∈N, Σ={1,...,n} dan matriks A=(A(i,j))_(i,j∈Σ), A(i,j)∈{0,1} di mana setiap baris dan kolom dari A tak nol. Aljabar-C^* 〖 O〗_A dibangun oleh isometri parsial S_i≠0 ,i∈Σ pada ruang Hilbert di mana proyeksi awal Q_i=S_i^* S_i dan proyeksi akhir P_i=S_i S_i^* memenuhi relasi Cuntz-Krieger....
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2016-04-27.
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LEADER | 00000 am a22000003u 4500 | ||
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001 | repoupi_27036 | ||
042 | |a dc | ||
100 | 1 | 0 | |a Budianti, Rita Anggraeni |e author |
245 | 0 | 0 | |a KAITAN ANTARA ALJABAR CUNTZ-KRIEGER O_A DAN ALJABAR CUNTZ-KRIEGER DARI GRAF E |
260 | |c 2016-04-27. | ||
500 | |a http://repository.upi.edu/27036/1/S_MAT_1203128_Title.pdf | ||
500 | |a http://repository.upi.edu/27036/2/S_MAT_1203128_Abstract.pdf | ||
500 | |a http://repository.upi.edu/27036/3/S_MAT_1203128_Table_of_content.pdf | ||
500 | |a http://repository.upi.edu/27036/4/S_MAT_1203128_Chapter1.pdf | ||
500 | |a http://repository.upi.edu/27036/5/S_MAT_1203128_Chapter2.pdf | ||
500 | |a http://repository.upi.edu/27036/6/S_MAT_1203128_Chapter3.pdf | ||
500 | |a http://repository.upi.edu/27036/7/S_MAT_1203128_Chapter4.pdf | ||
500 | |a http://repository.upi.edu/27036/8/S_MAT_1203128_Chapter5.pdf | ||
500 | |a http://repository.upi.edu/27036/9/S_MAT_1203128_Bibliography.pdf | ||
520 | |a Diberikan n∈N, Σ={1,...,n} dan matriks A=(A(i,j))_(i,j∈Σ), A(i,j)∈{0,1} di mana setiap baris dan kolom dari A tak nol. Aljabar-C^* 〖 O〗_A dibangun oleh isometri parsial S_i≠0 ,i∈Σ pada ruang Hilbert di mana proyeksi awal Q_i=S_i^* S_i dan proyeksi akhir P_i=S_i S_i^* memenuhi relasi Cuntz-Krieger. Selanjutnya diberikan graf berarah E yang terdiri dari himpunan countable E^0,E^1 dan fungsi r,s∶E^1→E^0. Aljabar-C^* C^* (E) dibangun oleh keluarga Cuntz-Krieger E. Pada skripsi ini dibahas konstruksi aljabar Cuntz-Krieger dari graf E dan kaitannya dengan aljabar Cuntz- Krieger 〖 O〗_A . Hasilnya, matriks A pada aljabar Cuntz-Krieger 〖 O〗_A berkaitan dengan matriks sisi dan matriks titik dari graf E pada aljabar Cuntz-Krieger dari graf E. Lebih lanjut, 〖 O〗_A isomorfik ke C^* (E_A ). Kata Kunci : Aljabar-C^*, keluarga Cuntz-Krieger, graf, matriks sisi, matriks titik. Given n∈N, Σ={1,...,n} and a matrix A=(A(i,j))_(i,j∈Σ), A(i,j)∈{0,1} where every row and every column of A is non-zero. A C^*-algebras 〖 O〗_A generated by partial isometries S_i≠0 (i∈Σ) that act on a Hilbert space in such a way that their support projections Q_i=S_i^* S_i and their range projections P_i=S_i S_i^* satisfy the Cuntz-Krieger relations. A directed graph E consists of two countable sets E^0,E^1 and function r,s∶E^1→E^0. C^*-algebras C^* (E) generated by a Cuntz-Krieger E-family. On this study we learn how to construct a Cuntz- Krieger algebra 〖 O〗_A, Cuntz-Krieger algebra of E and how they are related to each other. The result is a matrix A on Cuntz-Krieger algebra O_A associated to edge matrix and vertex matrix of E on Cuntz-Krieger algebra of E. Furthermore, 〖 O〗_A isomorphic to C^* (E_A ). Key words: C^*-algebras, Cuntz-Krieger family, graph, edge matrix and vertex matrix. | ||
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690 | |a QA Mathematics | ||
655 | 7 | |a Thesis |2 local | |
655 | 7 | |a NonPeerReviewed |2 local | |
787 | 0 | |n http://repository.upi.edu/27036/ | |
787 | 0 | |n http://repository.upi.edu | |
856 | |u https://repository.upi.edu/27036 |z Link Metadata |