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Towards the Baum-Connes' Analytical Assembly Map for the Actions of Discrete Quantum Groups
Debashish Goswami, A. O. Kuku
Given an action of a discrete quantum group (in the sense of Van Daele, Kustermans and Effros-Ruan) on a -algebra , satisfying some regularity assumptions…
A Remark on the structure of symmetric quantum dynamical semigroups on von Neumann algebras
Sergio Albeverio, Debashish Goswami
We study the structure of the generator of a symmetric, conservative quantum dynamical semigroup with norm-bounded generator on a von Neumann algebra equipped with a faithful semif…
Twisted entire cyclic cohomology, J-L-O cocycles and equivariant spectral triples
Debashish Goswami
We study the "quantized calculus" corresponding to the algebraic ideas related to "twisted cyclic cohomology" introduced in [KMT]. With very similar definitions and techniques as t…
Stochastic Dilation of Symmetric Completely Positive Semigroups
Debashish Goswami, Kalyan B. Sinha
This is a continuation of the study of the theory of quantum stochastic dilation of completely positive semigroups on a von Neumann or algebra, here with unbounded generators…