Tag: subfactors

41 Why is there such a close resemblance between the unitary representation theory of the Virasoro algebra and that of the Temperley-Lieb algebra? 2011-07-17T22:28:50.600

23 Why are subfactors interesting? 2009-10-15T02:09:30.273

23 Why are fusion categories interesting? 2009-11-19T21:52:58.547

18 Fuss-Catalan algebras and non-commutative Hilbert schemes 2013-01-11T16:29:53.130

18 Non-"weakly group theoretical" integral fusion categories? 2013-06-05T19:53:25.470

15 ubiquity, importance of path algebras 2009-11-14T18:43:47.517

15 Denseness of inner automorphisms inside automorphisms of hyperfinite type III_1 factor 2012-07-09T21:08:08.187

14 The cyclic subfactors theory: a quantum arithmetic? 2013-06-07T09:33:58.080

13 Categorifying the Reals via von Neumann Algebras? 2009-10-21T02:46:02.543

13 How do I describe a fusion category given a subfactor? 2009-10-23T06:46:03.333

13 Does every Frobenius algebra in a monoidal *-category give a Q-system? 2010-10-05T21:51:50.697

13 Endomorphism of type III factor: can it satisfy $\phi\circ\phi = \phi\oplus\phi$? 2010-11-23T08:22:09.560

12 Can the minimal index of a subfactor take all values in {4cos^2(pi/n);n=3,4,5,...} u [4,infinity]? 2010-09-25T19:12:52.380

12 Subfactors of $L(F_{\infty})$ 2012-06-05T21:58:51.123

12 Unitary structures on fusion categories 2013-05-23T02:52:27.617

12 Is there a purely group-theoretic reformulation of an equivalence of subgroups? 2013-07-07T17:47:33.553

12 Generalization of a theorem of Øystein Ore in group theory 2014-08-28T00:25:32.710

12 Is the domain of an operator valued weight closed under Hahn-Jordan decomposition? 2016-04-14T23:51:55.603

12 Does the Turaev-Viro theory for the generalized $E_6$ subfactor for $\mathbb{Z}/7$ distinguish $L(7,1)$ and $L(7,2)$? 2016-05-26T16:18:05.347

11 A question about maximal subgroups 2012-04-19T18:16:20.267

11 What is known about arbitrary subfactors of integer index? 2013-01-08T00:55:31.587

10 Do subgroups have "two sided bases"? 2009-11-24T03:34:32.420

10 Subfactor summer reading list 2010-10-26T16:20:51.290

9 Short Introduction to Planar Algebras 2009-10-17T13:40:09.603

9 Is there a subfactor construction involving 2-groups? 2009-11-17T06:58:04.253

9 Are there workable algebraic geometry approaches for the pentagon equation? 2014-07-17T17:10:59.463

8 Pimsner-Popa Bases 2009-10-15T00:16:56.360

8 Possible values of the index for subfactor inclusions coming from conformal nets 2011-01-19T10:19:47.207

8 Are there only finitely many maximal irreducible amenable subfactors at fixed finite index? 2013-06-05T21:17:16.693

8 What are the intermediate subfactors of the tensor product of two maximal subfactors? 2013-06-30T13:06:55.193

8 realizing fusion categories as subfactors of the hyperfinite 2013-09-15T16:33:26.117

8 In what sense do Jones' original subfactors come from quantum SU(2) 2017-03-04T19:33:16.423

7 Is there a finite-index finite-depth II$_1$ subfactor which is more than $7$-super-transitive? 2009-10-07T20:38:03.827

7 How can I prove that a sequence of squares of graph norms is never cyclotomic? 2009-10-22T05:19:34.643

7 subfactor of finite rank but infinite index: is this possible? 2010-10-06T20:42:15.080

7 endomorphism of factor: can it be idempotent up to congugacy? 2010-11-06T21:41:45.977

7 Subfactor theory and Hilbert von Neumann Algebras 2010-11-12T22:05:17.557

7 Image, kernel, quotient and first isomorphism theorem, in a category of monoid objects 2014-11-02T21:49:17.423

6 What is the subfactor planar algebra of type $\tilde{A}_n$, of index 4? 2011-03-16T16:18:25.577

6 von Neumann automorphisms: does convergence on a dense algebra imply $u$-convergence? 2012-07-11T11:23:49.863

6 Is it true that there are exactly two conjugacy classes of order two elements in Out(R)? 2012-08-06T17:54:55.617

6 Are subfactor planar algebras hard to classify at index 6? 2013-07-04T23:04:45.877

6 Existence of a Kac algebra for a given fusion ring in a particular class 2013-09-10T18:45:36.070

6 Is there a non-trivial Hopf algebra without left coideal subalgebra? 2015-01-03T08:00:55.157

6 What's the relation between spin model for subfactors theory and physics? 2015-05-20T08:15:28.550

6 Connes Embedding Conjecture and Fusion Categories 2015-07-30T17:26:05.877

6 An alternative Cauchy theorem on Hopf algebras 2015-09-29T23:11:59.687

6 Is there an integral simple fusion ring rank<6, FPdim>60 and Frobenius type? 2016-07-05T18:11:14.983

5 Operator Valued Weights 2009-10-17T21:54:29.573

5 generators for Hecke algebra quotients 2010-05-27T20:41:34.520

5 Is there a trivial construction of the trace on the Jones basic construction? 2011-04-01T14:44:43.493

5 Subspaces of a Subfactor 2011-04-05T07:16:33.977

5 representing tensor-C*-categories in BIM 2011-06-12T17:33:01.893

5 How well do we know relative commutants in $L(\mathbb{F}_\infty)$? 2012-08-04T19:13:28.277

5 Is there an infinite depth irreducible finite index maximal subfactor (other than Temperley Lieb) ? 2013-06-05T21:34:25.640

5 Jordan-Hölder theorem for planar algebras? 2014-01-29T18:26:50.433

5 Jordan-Hölder theorem for subfactors? 2014-01-31T18:10:08.277

5 Are the integer index finite depth irreducible subfactors Kac-coideal? 2014-09-01T11:39:06.877

5 Is the Euler characteristic of a subfactor planar algebra, nonzero? 2017-03-22T23:55:31.993

5 Are there examples of finite-dimensional weak Hopf C*-algebras with non-involutive antipode? 2018-01-14T10:44:16.343

4 Invertibility of the planar algebra-subfactor correspondence 2011-01-20T19:07:36.270

4 Is there a maximal finite depth infinite index irreducible subfactor? 2013-06-13T15:58:46.597

4 An embedding theorem for a fusion ring planar algebra? 2013-09-12T12:17:16.307

4 Are all the R-R-bimodules completely reducible? 2013-11-24T22:57:19.467

4 Is an integral simple fusion ring, categorifiable? 2013-11-28T21:25:35.020

4 The category of subfactors extending the category of groups? 2014-01-28T20:19:14.377

4 Normal intermediate subgroup and normal core 2014-02-25T21:21:18.673

4 Are the homogeneous single chain subfactors, Dedekind? 2014-03-16T21:00:51.520

4 The link between the subfactors and the motives as enriched Galois theories? 2014-03-27T20:08:30.637

4 Is there a perfect integral fusion category with PFdim = 2 mod 4? 2015-07-07T15:02:31.473

4 What are the applications of the depth 2 reduction to the subfactors theory? 2015-09-13T09:34:35.237

4 Unique factorization for the semigroup generated by {2cos(π/n) | n>3}? 2016-11-04T07:54:23.817

4 Index of a subfactor of a full $II_1$ factor 2017-10-01T16:17:53.763

3 Can you tell if a subfactor is finite depth by the growth rate of the standard invariant? 2013-07-10T14:48:32.607

3 What's the natural equivalence of subfactors in general? 2013-07-11T14:39:41.347

3 Is the fundamental group of a maximal subfactor always $\mathbb{R}_{+}^{*}$? 2013-07-11T15:30:46.593

3 Abelian subfactors, a relevant concept? 2014-02-01T15:01:01.103

3 A section from subfactors to transitive groups 2014-03-04T02:43:11.653

3 What's the ratio of inclusions of finite groups with a distributive lattice? 2014-08-15T20:58:14.933

3 What are the first non-maximal non-group-subgroup simple irreducible subfactors? 2014-08-31T14:05:05.583

3 Is there a tangle encoding the fusion rules? 2014-12-27T17:46:19.717

3 Is there no extra intermediate subfactor for the basic construction? 2015-05-07T11:07:37.017

3 Is there an integral simple fusion ring of multiplicity one and Frobenius type? (obvious excepted) 2016-07-07T22:56:47.070

3 Is the Nichols-Richmond theorem true for integral fusion rings? 2016-07-13T12:42:08.787

2 About the classification of infinite depth irreducible finite index maximal subfactors 2013-06-08T19:18:57.333

2 An upper bound for the maximal subgroups at fixed index? 2013-07-09T09:47:56.600

2 How simplify the pentagonal equation from two fusion rings? 2013-09-08T11:57:03.093

2 Are every finitely generated planar algebras, also singly generated? 2013-11-21T14:28:01.337

2 Planar algebraic translation of a subfactor property 2013-12-09T11:35:56.470

2 Fusion categories with permutation "associativity matrices" 2014-01-14T18:41:39.377

2 Existence of inclusions of finite groups with a particular lattice property 2014-02-14T15:15:54.383

2 A second isomorphism theorem for the inclusions of groups 2014-03-02T15:01:46.140

2 Are there workable numerical approaches for the pentagon equation? 2014-07-26T10:57:21.097

2 ${\rm II}_1$-factors with finite commutant and trivial intersection generate $B(H)$? 2014-07-29T12:02:42.907

2 ${\rm II}_1$-factors with finite commutant: $\mathcal{A} \cap \mathcal{B} = \mathbb{C} \Rightarrow \mathcal{A}' \cap \mathcal{B}'$ hyperfinite? 2014-08-03T05:06:53.427

2 Uniqueness of the tensor product decomposition of subfactors 2014-08-30T21:21:15.667

2 Has a subfactor with lattice $B_3$, a singly generated identity biprojection? 2015-02-02T22:08:13.530

2 Can any finite lattice with at most six elements be realized as an intermediate subfactor lattice? 2015-02-08T13:17:37.370

2 A process generating series of new subfactors 2015-03-07T04:43:43.853