Please use this identifier to cite or link to this item:
https://hdl.handle.net/1959.11/52458
Title: | C*-algebras associated to C*-correspondences and applications to mirror quantum spheres | Contributor(s): | Robertson, David (author)![]() |
Publication Date: | 2011 | Open Access: | Yes | DOI: | 10.1215/ijm/1369841788![]() |
Handle Link: | https://hdl.handle.net/1959.11/52458 | Abstract: | The structure of the C∗-algebras corresponding to even-dimensional mirror quantum spheres is investigated. It is shown that they are isomorphic to both Cuntz-Pimsner algebras of certain C∗-correspondences and C∗-algebras of certain labelled graphs. In order to achieve this, categories of labelled graphs and C∗-correspondences are studied. A functor from labelled graphs to C∗-correspondences is constructed, such that the corresponding associated C∗-algebras are isomorphic. Furthermore, it is shown that C∗-correspondences for the mirror quantum spheres arise via a general construction of restricted direct sum. | Publication Type: | Journal Article | Source of Publication: | Illinois Journal of Mathematics, 55(3), p. 845-870 | Publisher: | Duke University Press | Place of Publication: | United States of America | ISSN: | 1945-6581 0019-2082 |
Fields of Research (FoR) 2020: | 490408 Operator algebras and functional analysis | Socio-Economic Objective (SEO) 2020: | 280118 Expanding knowledge in the mathematical sciences | Peer Reviewed: | Yes | HERDC Category Description: | C1 Refereed Article in a Scholarly Journal |
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Appears in Collections: | Journal Article School of Science and Technology |
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