4 citations · 6 across the 4 of their papers we have counts for
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C*-algebra generated by projections
Partha Sarathi Chakraborty
The universal C*-algebra generated by n projections has been described. As an immediate corollary one obtains structure theorem for a pair of projections and the solution to an ass…
Characterization of spectral triples: A combinatorial approach
Partha Sarathi Chakraborty, Arupkumar Pal
We describe a general technique to study Dirac operators on noncommutative spaces under some additional assumptions. The main idea is to capture the compact resolvent condition in…
From C*algebra extensions to CQMS, , Podles sphere and other examples
Partha Sarathi Chakraborty
We construct compact quantum metric spaces (CQMS) starting with some C*algebra extension with a positive splitting. As special cases we discuss the case of Toeplitz algebra, quantu…
Metrics On The Quantum Heisenberg Manifold
Partha Sarathi Chakraborty
Compact quantum metric spaces are order unit spaces along with a Lip norm. On the order unit space of the selfadjoint elements of the dense subalgebra of smooth elements in the qua…
Geometry on the Quantum Heisenberg Manifold
Partha Sarathi Chakraborty, Kalyan B. Sinha
For the quantum Heisenberg manifolds, using the action of Heisenberg group we construct a family of spectral triples. It is shown that associated Kasparov module is same for all th…
Probability and Geometry on some Noncommutative Manifolds
Partha Sarathi Chakraborty, Debashish Goswami, Kalyan B. Sinha
In a noncommutative torus, effect of perturbation by inner derivation on the associated quantum stochastic process and geometric parameters like volume and scalar curvature have be…