Flabby Strict Deformation Quantizations and K-Groups
نویسندگان
چکیده
منابع مشابه
Flabby Strict Deformation Quantizations and K-groups
We construct examples of flabby strict deformation quantizations not preserving K-groups. This answers a question of Rieffel negatively.
متن کاملStrict Quantizations of Almost Poisson Manifolds
We show the existence of (non-Hermitian) strict quantization for every almost Poisson manifold.
متن کاملClassification of polarized deformation quantizations
We give a classification of polarized deformation quantizations on a symplectic manifold with a (complex) polarization. Also, we establish a formula which relates the characteristic class of a polarized deformation quantization to its Fedosov class and the Chern class of the polarization.
متن کاملTwisted Lie group C-algebras as strict quantizations
A nonzero 2-cocycle Γ ∈ Z(g,R) on the Lie algebra g of a compact Lie group G defines a twisted version of the Lie-Poisson structure on the dual Lie algebra g∗, leading to a Poisson algebra C∞(g∗(Γ)). Similarly, a multiplier c ∈ Z (G, U(1)) on G which is smooth near the identity defines a twist in the convolution product on G, encoded by the twisted group C∗algebra C∗(G, c). Further to some supe...
متن کاملA Negative Answer to a Question by Rieffel
In this article, we address one of the questions raised by Marc Rieffel in his collection of questions on deformation quantization. The question is whether the K-groups remain the same under flabby strict deformation quantizations. By “deforming” the question slightly, we produce a negative answer to the question. In his collection of questions on deformation quantization [8], Marc Rieffel aske...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: K-Theory
سال: 2004
ISSN: 1573-0514,0920-3036
DOI: 10.1007/s10977-004-0475-1