A global dimension theorem for quantized Banach algebras
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N. V. Volosova
Translated by: Alex Martsinkovsky - Trans. Moscow Math. Soc. 2009, 207-235
- DOI: https://doi.org/10.1090/S0077-1554-09-00174-5
- Published electronically: December 3, 2009
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Abstract:
We prove that for a commutative quantized ($\stackrel {h}{\otimes }$ and $\stackrel {o}{\otimes }$) algebra with infinite spectrum, the maximum of its left and right global homological dimensions and, as a consequence, its homological bidimension are strictly greater than one. This result is a quantum analog of the global dimension theorem of A. Ya. Helemskii.References
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Bibliographic Information
- N. V. Volosova
- Affiliation: Moscow Lomonosov State University, Moscow, Russia
- Email: volosova_nv@mail.ru
- Published electronically: December 3, 2009
- Additional Notes: Supported by the RFFI (Project No. 05–01–00982 and Project No. 08–01–00867).
- © Copyright 2009 American Mathematical Society
- Journal: Trans. Moscow Math. Soc. 2009, 207-235
- MSC (2000): Primary 46M18; Secondary 46H05, 46J20
- DOI: https://doi.org/10.1090/S0077-1554-09-00174-5
- MathSciNet review: 2573641