3 citations · 6 across the 11 of their papers we have counts for
11 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 fo…
-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…
Direct Integral and Decompoisitions of Locally Hilbert spaces
Chaitanya J. Kulkarni, Santhosh Kumar Pamula
In this work, we introduce the concept of direct integral of locally Hilbert spaces by using the notion of locally standard measure space (analogous to standard measure space defin…
Ergodic decomposition in the space of unital completely positive maps
Angshuman Bhattacharya, Chaitanya J. Kulkarni
The classical decomposition theory for states on a C*-algebra that are invariant under a group action has been studied by using the theory of orthogonal measures on the state space…
Generalized Orthogonal Measures on the Space of Unital Completely Positive Maps
Angshuman Bhattacharya, Chaitanya J. Kulkarni
A classical result by Effros connects the barycentric decomposition of a state on a C*-algebra to the disintegration of the GNS representation of the state with respect to an ortho…
Barycentric decompositions in the space of weak expectations
Angshuman Bhattacharya, Chaitanya J. Kulkarni
The space of weak expectations for a given representation of a (unital) separable C*-algebra is a compact convex set of (unital) completely positive maps in the BW topology, when i…
Decomposable Weak Expectations
Angshuman Bhattacharya, Chaitanya J. Kulkarni
In this article we define a special class of weak expectations for a representation of a separable unital C*-algebra, called decomposable weak expectation. We give necessary and su…