Free oriented extensions of subfactor planar algebras

被引：1

作者：

Ghosh, Shamindra Kumar ^{[1
]}

Jones, Corey ^{[2
]}

Reddy, B. Madhav ^{[1
]}

机构：

[1] Indian Stat Inst, Stat Math Unit, Kolkata, India

[2] Australian Natl Univ, Math Sci Inst, Canberra, ACT, Australia

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2018年 / 29卷 / 13期

关键词：

Subfactor planar algebras; categories; adjoint functors; CATEGORIES;

D O I：

10.1142/S0129167X18500933

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that the restriction functor from oriented factor planar algebras to subfactor planar algebras admits a left adjoint, which we call the free oriented extension functor. We show that for any subfactor planar algebra realized as the standard invariant of a hyperfinite II1 subfactor, the projection category of the free oriented extension admits a realization as bimodules of the hyperfinite II1 factor.

引用

页数：33

共 50 条

[1] Free transport for finite depth subfactor planar algebras
Nelson, Brent
[J]. JOURNAL OF FUNCTIONAL ANALYSIS, 2015, 268 (09) : 2586 - 2620
[2] EULER TOTIENT OF SUBFACTOR PLANAR ALGEBRAS
Palcoux, Sebastien
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2018, 146 (11) : 4775 - 4786
[3] FROM SUBFACTOR PLANAR ALGEBRAS TO SUBFACTORS
Kodiyalam, Vijay
Sunder, V. S.
[J]. INTERNATIONAL JOURNAL OF MATHEMATICS, 2009, 20 (10) : 1207 - 1231
[4] Generators for finite depth subfactor planar algebras
Kodiyalam, Vijay
Tupurani, Srikanth
[J]. PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2016, 126 (02): : 235 - 240
[5] Classification of Thurston relation subfactor planar algebras
Jones, Corey
Liu, Zhengwei
Ren, Yunxiang
[J]. QUANTUM TOPOLOGY, 2019, 10 (03) : 441 - 480
[6] Generators for finite depth subfactor planar algebras
VIJAY KODIYALAM
SRIKANTH TUPURANI
[J]. Proceedings - Mathematical Sciences, 2016, 126 : 235 - 240
[7] Ore's theorem on subfactor planar algebras
Palcoux, Sebastien
[J]. QUANTUM TOPOLOGY, 2020, 11 (03) : 525 - 543
[8] The embedding theorem for finite depth subfactor planar algebras
Jones, Vaughan F. R.
Penneys, David
[J]. QUANTUM TOPOLOGY, 2011, 2 (03) : 301 - 337
[9] Universal skein theory for finite depth subfactor planar algebras
Kodiyalam, Vijay
Tupurani, Srikanth
[J]. QUANTUM TOPOLOGY, 2011, 2 (02) : 157 - 172
[10] ORE'S THEOREM ON CYCLIC SUBFACTOR PLANAR ALGEBRAS AND BEYOND
Palcoux, Sebastien
[J]. PACIFIC JOURNAL OF MATHEMATICS, 2018, 292 (01) : 203 - 221

← 1 2 3 4 5 →