4 citations · 6 across the 4 of their papers we have counts for
8 papers
Equivariant spectral triples for and the odd dimensional quantum spheres
Partha Sarathi Chakraborty, Arupkumar Pal
We formulate the notion of equivariance of an operator with respect to a covariant representation of a C^*-dynamical system. We then use a combinatorial technique used by the autho…
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…
Equivariant spectral triples on the quantum SU(2) group
Partha Sarathi Chakraborty, Arupkumar Pal
We characterize all equivariant odd spectral triples for the quantum SU(2) group acting on its L_2-space and having a nontrivial Chern character. It is shown that the dimension of…
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…