From the 1 of 8 linked papers with an AI index.
8 papers
Quantum Gromov-Hausdorff Convergence for Extensions of -Algebras
Vibhor Bhatt, Satyajit Guin, Bipul Saurabh
The paper studies how quantum Gromov‑Hausdorff convergence of certain operator systems can be lifted through Toeplitz‑type extensions of C*-algebras by stable ideals, using a new u…
Holomorphic Jet Modules and Holomorphic Connections for Noncommutative Complex Curves
Indranil Biswas, Satyajit Guin, Pradip Kumar
We extend Atiyah's holomorphic jet bundle formalism to holomorphic vector bundles over noncommutative algebras endowed with a bigraded differential calculus truncated at bidegree $…
Fixed points and Holomorphic Structures on Line Bundles over the Quantum Projective Line
Indranil Biswas, Satyajit Guin, Pradip Kumar
It has recently been observed that, in contrast to the classical case, holomorphic structures on line bundles over the quantum projective line are not uniquely determined by degree…
On two notions of torsion and metric compatibility of connections in noncommutative geometry
Jyotishman Bhowmick, Bappa Ghosh, Satyajit Guin
We compare the notions of metric-compatibility and torsion of a connection in the frameworks of Beggs-Majid and Mesland-Rennie. It follows that for -preserving connections, c…
Higher reflections and entropy of canonical shifts for inclusions of -algebras with finite Watatani index
Keshab Chandra Bakshi, Satyajit Guin, Biplab Pal +1
Given a unital inclusion of simple -algebras equipped with a conditional expectation of index-finite type, we study Fourier transforms and rotation operators and introduce the…
A noncommutative construction of families of biunitary matrices and application to subfactors
Keshab Chandra Bakshi, Satyajit Guin, Guruprasad
We introduce a construction that, given a pair (u,v) of complex Hadamard matrices of the same order, generates infinitely many biunitary matrices of varying (and distinct) orders.…