Morita Enveloping Fell Bundles
نویسندگان
چکیده
منابع مشابه
Fell Bundles over Groupoids
We study the C*-algebras associated to Fell bundles over groupoids and give a notion of equivalence for Fell bundles which guarantees that the associated C*-algebras are strong Morita equivalent. As a corollary we show that any saturated Fell bundle is equivalent to a semi-direct product arising from the action of the groupoid on a C*-bundle. A C*-algebraic bundle (see [F2, §11]) over a locally...
متن کاملA Classic Morita Equivalence Result for Fell Bundle C∗-algebras
We show how to extend a classic Morita Equivalence Result of Green’s to the C∗-algebras of Fell bundles over transitive groupoids. Specifically, we show that if p : B → G is a saturated Fell bundle over a transitive groupoid G with stability group H = G(u) at u ∈ G(0), then C∗(G,B) is Morita equivalent to C∗(H,C ), where C = B|H . As an application, we show that if p : B → G is a Fell bundle ov...
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 کاملEnveloping Manifolds
We study the problem of embedding compact subsets of Rn into C1 submanifolds of minimal dimension. In [4], we define a generalized tangent space TxA suitable for a general compact subset A of Rn and we prove that A may be locally embedded into a C1 manifold of dimension dim(TxA). This result leads naturally to the global conjecture that for a compact subset A of Rn, there exists a C1 manifold M...
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: Bulletin of the Brazilian Mathematical Society, New Series
سال: 2018
ISSN: 1678-7544,1678-7714
DOI: 10.1007/s00574-018-0088-6