Rigid C*-tensor categories of bimodules over interpolated free group factors
From MaRDI portal
Publication:2872424
DOI10.1063/1.4769178zbMath1285.46050arXiv1208.5505OpenAlexW3100981783MaRDI QIDQ2872424
David Penneys, Arnaud Brothier, Michael Hartglass
Publication date: 14 January 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1208.5505
(C^*)-modules (46L08) Subfactors and their classification (46L37) Categories, functors in functional analysis (46M15)
Related Items (23)
Compact quantum metric spaces from free graph algebras ⋮ A planar algebraic description of conditional expectations ⋮ Operator algebras in rigid \(\mathrm{C}^\ast\)-tensor categories ⋮ Realizations of algebra objects and discrete subfactors ⋮ Colored planar algebras for commuting squares and applications to Hadamard subfactors ⋮ Haploid algebras in \(C^*\)-tensor categories and the Schellekens list ⋮ Realization of rigid \(C^\ast \)-bicategories as bimodules over type \(\mathrm{II}_1\) von Neumann algebras ⋮ C*-algebras from planar algebras I: Canonical C*-algebras associated to a planar algebra ⋮ Free product von Neumann algebras associated to graphs, and Guionnet, Jones, Shlyakhtenko subfactors in infinite depth ⋮ Realizing the braided Temperley-Lieb-Jones C*-tensor categories as Hilbert C*-modules ⋮ \(C^\ast\)-algebras from planar algebras. II: The Guionnet-Jones-Shlyakhtenko \(C^\ast\)-algebras ⋮ Realizations of rigid C*-tensor categories as bimodules over GJS C*-algebras ⋮ Rigid C*-Tensor Categories and their Realizations as Hilbert C*-Bimodules ⋮ Lifting shadings on symmetrically self-dual subfactor planar algebras ⋮ Q-systems and compact W*-algebra objects ⋮ K-theory of AF-algebras from braided C*-tensor categories ⋮ Free oriented extensions of subfactor planar algebras ⋮ The module embedding theorem via towers of algebras ⋮ Quantum G2 categories have property (T) ⋮ Circuit algebras are wheeled props ⋮ Unitary dual functors for unitary multitensor categories ⋮ Annular representations of free product categories ⋮ Planar Algebras in Braided Tensor Categories
Cites Work
- Unnamed Item
- Unshaded planar algebras and their associated II\(_{1}\) factors
- A semi-finite algebra associated to a subfactor planar algebra
- Planar algebras: a category theoretic point of view
- An orthogonal approach to the subfactor of a planar algebra
- Skein theory for the \(D_{2n}\) planar algebras
- On the spatial theory of von Neumann algebras
- Free products of hyperfinite von Neumann algebras and free dimension
- \(A\)-valued semicircular systems
- Index for subfactors
- C\(^*\)-tensor categories and free product bimodules
- Universal properties of \(L(\mathbb{F}_ \infty)\) in subfactor theory.
- Classification of amenable subfactors of type II
- An axiomatization of the lattice of higher relative commutants of a subfactor
- Amenable tensor categories and their realizations as AFD bimodules
- Markov traces on universal Jones algebras and subfactors of finite index
- Universal construction of subfactors
- A description of amalgamated free products of finite von Neumann algebras over finite-dimensional subalgebras
- AMENABILITY AND STRONG AMENABILITY FOR FUSION ALGEBRAS WITH APPLICATIONS TO SUBFACTOR THEORY
- Amalgamated Free Products of Multi-Matrix Algebras and a Construction of Subfactors of a Free Group Factor
This page was built for publication: Rigid C*-tensor categories of bimodules over interpolated free group factors
