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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…
Some Noncommutative Geometric Aspects of SU_q(2)
Debashish Goswami
We study various noncommutative geometric aspects of the compact quantum group SU_q(2) for positive q (not equal to 1), following the suggestion of Connes and his coauthors [CL, CD…