8 papers
Functional Models of Abelian Locally von Neumann Algebras and Direct Integrals of Locally Hilbert Spaces
Aurelian Gheondea, Chaitanya J. Kulkarni, Santhosh Kumar Pamula
We obtain a functional model for an arbitrary Abelian locally von Neumann algebra acting on a representing locally Hilbert space under the assumption that the index directed set is…
On the Haagerup property for partial crossed products
Md Amir Hossain, Chaitanya J. Kulkarni
Let be a partial dynamical system and let denote the associated reduced partial crossed product. In this article, we introduce the Haagerup property…
-extreme points of unital completely positive maps invariant under group action
Chaitanya J. Kulkarni
In this work, we study a sub-collection of unital completely positive maps from a unital -algebra to , the algebra of bounded linear…
Direct integral of locally Hilbert spaces over a locally measure space
Chaitanya J. Kulkarni, Santhosh Kumar Pamula
In this work, we introduce the concept of the direct integral of locally Hilbert spaces by generalizing the classical notion of a measure space to that of a locally measure space.…
Direct integral of locally Hilbert spaces
Chaitanya J. Kulkarni, Santhosh Kumar Pamula
In this work, we introduce the concept of the direct integral of locally Hilbert spaces. This notion is formulated such that the direct integral of locally Hilbert spaces forms a l…
Extreme points of unital completely positive maps invariant under partial action
Chaitanya J. Kulkarni, Md Amir Hossain
The classical Choquet theorem establishes a barycentric decomposition for elements in a compact convex subset of a locally convex topological vector space. This decomposition is ac…