5 papers
Projective corepresentations and cohomology of compact quantum groups
Debashish Goswami, Kiran Maity
We study projective unitary (co)representations of compact quantum groups and the associated second cohomology theory. We introduce left/right/bi/strongly projective corepresentati…
Linear coactions of discrete quantum groups on the circle
Debashish Goswami, Suchetana Samadder
For a (unital) -algebra $\cla$, we construct a -algebraic discrete quantum group (DQG) $\clq_{\rm aut}(\cla)$, coacting on $\cla$, which is a quantum generalization of ${…
Weak quantum hypergroups from finite index C*-inclusions
Keshab Chandra Bakshi, Debashish Goswami, Biplab Pal
We study a finite index inclusion of simple unital C*-algebras and construct a canonical completely positive coproduct on the second relative commutant, thereby endowing it with a…
Second invariant cohomology of some finite-dimensional Hopf algebras
Debashish Goswami, Kiran Maity
We use categorical description of the invariant 2-cohomology group of Hopf algebra to compute such cohomology for two finite dimensional Hopf algebras: the group ring of $Z_8\rtime…
On outer automorphisms of certain graph -algebras
Swarnendu Datta, Debashish Goswami, Soumalya Joardar
Given a countable abelian group , we construct a row finite directed graph such that the -group of the graph -algebra $\textrm{C}^{\ast}(Î(A))…