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A compact quantum semigroup generated by an isometry
| Content Provider | Semantic Scholar |
|---|---|
| Author | Aukhadiev, Marat A. Grigoryan, Suren A. Lipacheva, Ekaterina |
| Copyright Year | 2011 |
| Abstract | In this paper we construct a compact quantum semigroup structure on a Toeplitz algebra. We prove the existence of a subalgebra in the dual algebra isomorphic to the algebra of regular Borel measures on a circle with the convolution product. We also prove the existence of Haar functionals in the dual algebra and in the mentioned subalgebra. We show that this compact quantum semigroup contains a dense subalgebra with the structure of a weak Hopf algebra. |
| Starting Page | 78 |
| Ending Page | 81 |
| Page Count | 4 |
| File Format | PDF HTM / HTML |
| DOI | 10.3103/S1066369X11100100 |
| Volume Number | 55 |
| Alternate Webpage(s) | http://old.kpfu.ru/journals/izv_vuz/arch/english/2011/10/e10-10.pdf |
| Alternate Webpage(s) | https://doi.org/10.3103/S1066369X11100100 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
