A Morita equivalence for Hilbert C*-modules
نویسندگان
چکیده
منابع مشابه
On the Linking Algebra of Hilbert Modules and Morita Equivalence of Locally C -algebras
In this paper we introduce the notion of linking algebra of a Hilbert module over a locally C -algebra and we extend in the context of locally C -algebras a result of Brown, Green and Rie¤el [Paci c J.,1977] which states that two C -algebras are strongly Morita equivalent if and only if they are isomorphic with two complementary full corners of a C -algebra. Full text
متن کاملEquivalence of quotient Hilbert modules
Let M be a Hilbert module of holomorphic functions over a natural function algebra A (Ω), where Ω ⊆Cm is a bounded domain. Let M0 ⊆M be the submodule of functions vanishing to order k on a hypersurface Z ⊆ Ω. We describe a method, which in principle may be used, to construct a set of complete unitary invariants for quotient modules Q = M ⊖M0. The invariants are given explicitly in the particula...
متن کاملRieffel induction and strong Morita equivalence in the context of Hilbert modules
The Morita equivalence of m-regular involutive quantales in the context of the theory of Hilbert A-modules is presented. The corresponding fundamental representation theorems are shown. We also prove that two commutative m-regular involutive quantales are Morita equivalent if and only if they are isomorphic. In the paper [5] F. Borceux and E.M. Vitale made a first step in extending the theory o...
متن کاملextend numerical radius for adjointable operators on Hilbert C^* -modules
In this paper, a new definition of numerical radius for adjointable operators in Hilbert -module space will be introduced. We also give a new proof of numerical radius inequalities for Hilbert space operators.
متن کاملFrames for Hilbert C*-modules
There is growing evidence that Hilbert C*-module theory and the theory of wavelets and Gabor (i.e. Weyl-Heisenberg) frames are tightly related to each other in many aspects. Both the research fields can benefit from achievements of the other field. The goal of the talk given at the mini-workshop was to give an introduction to the theory of module frames and to Hilbert C*modules showing key anal...
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: Studia Mathematica
سال: 2012
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm209-1-2