Mapping spaces and automorphism groups of toric noncommutative spaces

Barnes, Gwendolyn E.; Schenkel, Alexander; Szabo, Richard J.

Abstract

We develop a sheaf theory approach to toric noncommutative geometry which allows us to formalize the concept of mapping spaces between two toric noncommutative spaces. As an application we study the 'internalized' automorphism group of a toric noncommutative space and show that its Lie algebra has an elementary description in terms of braided derivations.

Citation

Barnes, G. E., Schenkel, A., & Szabo, R. J. (2017). Mapping spaces and automorphism groups of toric noncommutative spaces. Letters in Mathematical Physics, 107(9), 1591-1628. https://doi.org/10.1007/s11005-017-0957-8

• Journal Article Type: Article
• Acceptance Date: Mar 14, 2017
• Online Publication Date: Apr 7, 2017
• Publication Date: 2017-09
• Deposit Date: Apr 3, 2017
• Publicly Available Date: Apr 7, 2017
• Journal: Letters in Mathematical Physics
• Print ISSN: 0377-9017
• Electronic ISSN: 1573-0530
• Publisher: Springer Verlag
• Peer Reviewed: Peer Reviewed
• Volume: 107
• Issue: 9
• Pages: 1591-1628
• DOI: https://doi.org/10.1007/s11005-017-0957-8
• Keywords: Noncommutative geometry, Torus actions, Sheaves, Exponential objects, Automorphism groups
• Public URL: https://nottingham-repository.worktribe.com/output/966518
• Publisher URL: http://link.springer.com/article/10.1007/s11005-017-0957-8
• Related Public URLs: https://arxiv.org/abs/1609.06562