منابع مشابه
Morita Equivalence of Twisted Crossed Products
We introduce a natural notion of strong Morita equivalence of twisted actions of a locally compact group on C*-algebras, and then show that the corresponding twisted crossed products are strongly Morita equivalent. This result is a generalization of the result of Curto, Muhly and Williams concerning strong Morita equivalence of crossed products by actions.
متن کاملSemiclassical Geometry of Quantum Line Bundles and Morita Equivalence of Star Products
In this paper we show how deformation quantization of line bundles over a Poisson manifold M produces a canonical action Φ of the Picard group Pic(M) ∼= H(M,Z) on the moduli space of equivalence classes of differential star products on M , Defdiff(M). The orbits of Φ characterize Morita equivalent star products on M . We describe the semiclassical limit of Φ in terms of the characteristic class...
متن کاملMorita equivalence of Fedosov star products and deformed Hermitian vector bundles
Based on the usual Fedosov construction of star products for a symplectic manifold M we give a simple geometric construction of a bimodule deformation for the sections of a vector bundle over M starting with a symplectic connection on M and a connection for E. In the case of a line bundle this gives a Morita equivalence bimodule where the relation between the characteristic classes of the Morit...
متن کاملCrossed Products of Locally C-algebras and Morita Equivalence
We introduce the notion of strong Morita equivalence for group actions on locally C-algebras and prove that the crossed products associated with two strongly Morita equivalent continuous inverse limit actions of a locally compact group G on the locally C∗-algebras A and B are strongly Morita equivalent. This generalizes a result of F. Combes, Proc. London Math. Soc. 49(1984) and R. E. Curto, P....
متن کاملCompletely positive inner products and strong Morita equivalence
We develop a general framework for the study of strong Morita equivalence in which C∗algebras and hermitian star products on Poisson manifolds are treated in equal footing. We compare strong and ring-theoretic Morita equivalences in terms of their Picard groupoids for a certain class of unital ∗-algebras encompassing both examples. Within this class, we show that both notions of Morita equivale...
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: Comptes Rendus Mathematique
سال: 2017
ISSN: 1631-073X
DOI: 10.1016/j.crma.2017.10.012