Browsing Matematisk institutt by Author "Yamashita, Makoto"
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Neshveyev, Sergey; Yamashita, Makoto (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2018)We prove two results on the tube algebras of rigid C*tensor categories. The first is that the tube algebra of the representation category of a compact quantum group G is a full corner of the Drinfeld double of G. As an ...

Neshveyev, Sergey; Yamashita, Makoto (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2018)

Neshveyev, Sergey; Yamashita, Makoto (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2016)We classify up to isomorphism all nonKac compact quantum groups with the same fusion rules and dimension function as SU(n). For this we first prove, using categorical Poisson boundary, the following general result. Let G ...

Neshveyev, Sergey; Yamashita, Makoto (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2016)Motivated by the relation between the Drinfeld double and central property (T) for quantum groups, given a rigid C*tensor category C and a unitary halfbraiding on an indobject, we construct a *representation of the ...

Bichon, Julien; Neshveyev, Sergey; Yamashita, Makoto (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2016)Given a Hopf algebra A graded by a discrete group together with an action of the same group preserving the grading, we define a new Hopf algebra, which we call the graded twisting of A. If the action is by adjoint maps, ...

Bichon, Julien; Neshveyev, Sergey; Yamashita, Makoto (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2018)Continuing our previous work on graded twisting of Hopf algebras and monoidal categories, we introduce a graded twisting construction for equivariant comodule algebras and module categories. As an example we study actions ...

Proietti, Valerio; Yamashita, Makoto (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2021)Given an ample groupoid, we construct a spectral sequence with groupoid homology with integer coefficients on the second sheet, converging to the Kgroups of the (reduced) groupoid C∗algebra, provided the groupoid has ...

Neumann, Hans Henrich; Yamashita, Makoto (Journal article / Tidsskriftartikkel / PublishedVersion; Peer reviewed, 2022)We prove Lieb type convexity and concavity results for trace functionals associated with positive operator monotone (decreasing) functions and certain monotone concave functions, together with strictly positive linear maps ...

Neshveyev, Sergey; Yamashita, Makoto (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2017)Given a rigid C∗ tensor category C with simple unit and a probability measure µ on the set of isomorphism classes of its simple objects, we define the Poisson boundary of (C, µ). This is a new C∗ tensor category P, ...

De Commer, Kenny; Neshveyev, Sergey; Tuset, Lars; Yamashita, Makoto (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2019)

Kirihata, Megumi; Yamashita, Makoto (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2020)We prove a strengthened form of convexity for operator monotone decreasing positive functions defined on the positive real numbers. This extends Ando and Hiai's work to allow arbitrary positive maps instead of states (or ...

Chakraborty, Sayan; Yamashita, Makoto (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2019)We give a description of cyclic cohomology and its pairing with Kgroups for 2cocycle deformation of algebras graded over discrete groups. The proof relies on a realization of monodromy for the Gauss–Manin connection on ...

Bhowmick, Jyotishman; Ghosh, Shamindra; Rakshit, Narayan; Yamashita, Makoto (Journal article / Tidsskriftartikkel / AcceptedVersion; Peer reviewed, 2018)