论文标题
Unital $ c^*$的莫里塔语境的完全有限的子上下文
Completely bounded subcontexts of a Morita context of unital $C^*$-algebras
论文作者
论文摘要
在本文中，我们回答了一个与识别全体形态横截面代数完全有限的莫里塔等效性的拓扑不变性有关的问题。 Given a certain natural subcontext of a strong Morita context of $n$-homogeneous $C^*$-algebras whose spectrum $T$ is an annulus, Blecher-Muhly-Paulsen are able to estimate the norm of a lifting of the identity of a holomorphic subalgebra by a conformal invariant of the annulus and a property of the associated matrix bundle.我们对上述示例进行了概括，其中$ t $是边界的Riemann表面。在构建这种概括的同时，我们开发了一个足够的标准，即何时可以将一个完全有限的莫里塔对等相似，并将其纳入相似性和强大的莫里塔对等。
In this paper, we answer a question of Blecher-Muhly-Paulsen pertaining to identifying topological invariants for completely bounded Morita equivalences of holomorphic cross-section algebras. Given a certain natural subcontext of a strong Morita context of $n$-homogeneous $C^*$-algebras whose spectrum $T$ is an annulus, Blecher-Muhly-Paulsen are able to estimate the norm of a lifting of the identity of a holomorphic subalgebra by a conformal invariant of the annulus and a property of the associated matrix bundle. We give a generalization of the above example in which $T$ is a bordered Riemann surface. While constructing this generalization, we develop a sufficient criterion for when a unital completely bounded Morita equivalence can be factored into a similarity and a strong Morita equivalence.
