50 citations · 87 across the 14 of their papers we have counts for
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Local Equivalence of Rank-Two Quantum Mixed States
Sergio Albeverio, Shao-Ming Fei, Debashish Goswami
We investigate the equivalence of quantum mixed states under local unitary transformations. For a class of rank-two mixed states, a sufficient and necessary condition of local equi…
Quantum Isometry Groups: Examples and Computations
Debashish Goswami, Jyotishman Bhowmick
In this follow-up of the article: Quantum Group of Isometries in Classical and Noncommutative Geometry(arXiv:0704.0041) by Goswami, where quantum isometry group of a noncommutative…
Quantum random walks and vanishing of the second Hochschild cohomology
Debashish Goswami, Lingaraj Sahu
Given a conditionally completely positive map on a unital -algebra $\A$, we find an interesting connection between the second Hochschild cohomology of $\A$ with…
Invariance and the twisted Chern character : a case study
Debashish Goswami
We give details of the proof of the remark made in \cite{G2} that the Chern characters of the canonical generators on the K homology of the quantum group are not invarian…
On Equivariant Embedding of Hilbert C^* modules
Debashish Goswami
We prove that an arbitrary (not necessarily countably generated) Hilbert -$\cla$ module on a G-C^* algebra $\cla$ admits an equivariant embedding into a trivial $G-\cla$ module,…
Quantum Group of Isometries in Classical and Noncommutative Geometry
Debashish Goswami
We formulate a quantum generalization of the notion of the group of Riemannian isometries for a compact Riemannian manifold, by introducing a natural notion of smooth and isometric…