Smooth *-algebras

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dc.creatorDubois-Violette, Michel
dc.creatorKriegl, Andreas
dc.creatorMaeda, Yoshiaki
dc.creatorMichor, Peter W.
dc.date2001-06-18
dc.date2001-07-13
dc.date.accessioned2026-07-07T04:42:13Z
dc.date.available2026-07-07T04:42:13Z
dc.descriptionLooking for the universal covering of the smooth non-commutative torus leads to a curve of associative multiplications on the space $\Cal O_M'(\Bbb R^{2n})\cong \Cal O_C(\Bbb R^{2n})$ of Laurent Schwartz which is smooth in the deformation parameter $\hbar$. The Taylor expansion in $\hbar$ leads to the formal Moyal star product. The non-commutative torus and this version of the Heisenberg plane are examples of smooth *-algebras: smooth in the sense of having many derivations. A tentative definition of this concept is given.
dc.description25 pages; Author names corrected
dc.identifierhttps://arxiv.org/abs/math/0106150
dc.identifierhttp://arxiv.org/abs/math/0106150
dc.identifierProgress of Theoretical Physics Supplement Number 144 (2001), 54-78.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/61681
dc.subjectQuantum Algebra
dc.subjectMathematical Physics
dc.subjectSymplectic Geometry
dc.subject46L87, 46L60
dc.titleSmooth *-algebras
dc.typetext

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