8 citations · 15 across the 11 of their papers we have counts for
12 papers
A multigraph approach to confusability in quantum channels
Sk Asfaq Hossain, Angshuman Bhattacharya
We introduce a new approach to confusability in a quantum channel, namely quantum confusability multigraph, which incorporates the output information into the graphical structure.…
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…
Weak expectations of discrete quantum group algebras and crossed products
Arnab Bhattacharjee, Angshuman Bhattacharya
In this article we study analogues of the weak expectation property of discrete group C*-algebras and their crossed products, in the discrete quantum group setting, i.e., discrete…
Property (T), property (F) and residual finiteness for discrete quantum groups
Angshuman Bhattacharya, Michael Brannan, Alexandru Chirvasitu +1
We investigate connections between various rigidity and softness properties for discrete quantum groups. After introducing a notion of residual finiteness, we show that it implies…
Kirchberg's Factorization Property for Discrete Quantum Groups
Angshuman Bhattacharya, Shuzhou Wang
We show that the discrete duals of the universal unitary quantum groups and orthogonal quantum groups have Kirchberg's factorization property when n is different from 3.
Crossed products of C*-algebras with the weak expectation property
Angshuman Bhattacharya, Douglas Farenick
If is an amenable action of a discrete group on a unital C*-algebra , then the crossed-product C*-algebra has the weak expectation property if and only if…
Relative weak injectivity of operator system pairs
Angshuman Bhattacharya
The concept of a relatively weakly injective pair of operator systems is introduced and studied in this paper, motivated by relative weak injectivity in the C*-algebra category. E.…
Coincidence of Schur multipliers of the Drury-Arveson space
Angshuman Bhattacharya, Tirthankar Bhattacharyya
In a purely multi-variable setting (i.e., the issues discussed in this note are not interesting in the single variable operator theory setting), we show that the coincidence of two…
Complete Pick Positivity and Unitary Invariance
Angshuman Bhattacharya, Tirthankar Bhattacharyya
The characteristic function for a contraction is a classical complete unitary invariant devised by Sz.-Nagy and Foias. Just as a contraction is related to the Szego kernel $k_S(z,w…