Shabilla, Nadia (2014) PRODUK SILANG TEREDUKSI DARI ALJABAR-C^* OLEH SEMIGRUP PADA AUTOMORFISMA. S1 thesis, Universitas Pendidikan Indonesia.
Abstract
Gerard.J. Murphy (1991) mendefinisikansuatusistemdinamik(A,M,α) terdiri dari A aljabar-C^*dan Msemigrupdenganunsuridentitas, dimanakeduanyadihubungkanolehaksihomomorfismaα oleh M pada automorfisma di A. Produk silang dari sistemdinamik(A,M,α), yaitu(B,ρ,V) terdiri dari aljabar-C^* B (yang selanjutnya dinotasikan dengan A⋊_α M) dan pasangan(ρ,V) yangmerupakanhomomofismakovarian di A⋊_α M. Pada tulisan ini dipelajari tentang bentukrepresentasiisometrikregulerdariMsemigrupkanselatifkanan (denganunsuridentitas) di ruang Hilbert l^2 (M,H) dan konstruksi produksilangA⋊_α Mdarisistemdinamik(A,M,α), yang terdiri dari A aljabar-C^* unital dan M semigrupkanselatifkanandenganidentitas. Kemudiandikajisifat universal dariproduksilangA⋊_α M sehingga melahirkan produk silang tereduksi di (A,M,α). Gerard.J. Murphy (1991) defined a dynamical system (A,M,α) which contains a C*-algebra A and a semigroup with identity element M of automorphism on A. The system (B,ρ,V) is a crossed product for dynamical system (A,M,α), that contains C*-algebra B (which later will be denoted as A⋊_α M) and a covariant homomorphism which denoted as a pair (ρ,V). In this paper, we learn a regular isometric’s form of right-cancellative semigroup (with identity element) M on Hilbert space l^2 (M,H), construction of crossed product A⋊_α M from a dynamical system (A,M,α) which contains a unitalC*-algebra A and right-cancellative semigroup (with identity element) M. Moreover, we investigate the universal property of a crossed product A⋊_α M that forms a reduced crossed product on (A,M,α).
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| Item Type: | Thesis (S1) |
|---|---|
| Additional Information: | No. Panggil: S MTK SHA p-2014; Pembimbing: I. Rizky Rosjanuardi, II. Isnie Yusnitha |
| Uncontrolled Keywords: | Aljabar-C^*, Sistem Dinamik Aljabar-C^*, Produk Silang Aljabar-C^*, Produk Silang Tereduksi. |
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Fakultas Pendidikan Matematika dan Ilmu Pengetahuan Alam > Program Studi Matematika - S1 > Program Studi Matematika (non kependidikan) |
| Depositing User: | Staf Koordinator 3 |
| Date Deposited: | 25 Aug 2015 06:50 |
| Last Modified: | 25 Aug 2015 06:50 |
| URI: | http://repository.upi.edu/id/eprint/16616 |
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