Results 151 to 160 of about 2,719 (179)
On Intermediate Subfactors of Goodman-de la Harpe-Jones Subfactors [PDF]
Communications in Mathematical Physics, 2010 In this paper we present a conjecture on intermediate subfactors which is a generalization of Wall's conjecture from the theory of finite groups. Motivated by this conjecture, we determine all intermediate subfactors of Goodman-Harpe-Jones subfactors, and as a result we verify that Goodman-Harpe-Jones subfactors verify our conjecture.
Xu, F.
exaly +3 more sources
Some of the next articles are maybe not open access.
Related searches:
Related searches:
Oberwolfach Reports
The theory of subfactors plays an important role in the discovery and analysis of quantum symmetries that seem to be ubiquitous in mathematics and physics. Subfactors profoundly interact with a wide range of different areas such as quantum topology, vertex operator algebras, quantum groups, free probability theory, quantum computing and quantum ...
Dietmar Bisch +3 more
openaire +2 more sources
The theory of subfactors plays an important role in the discovery and analysis of quantum symmetries that seem to be ubiquitous in mathematics and physics. Subfactors profoundly interact with a wide range of different areas such as quantum topology, vertex operator algebras, quantum groups, free probability theory, quantum computing and quantum ...
Dietmar Bisch +3 more
openaire +2 more sources
1997
Subfactors have been a subject of considerable research activity for about fifteen years and are known to have significant relations with other fields such as low dimensional topology and algebraic quantum field theory. These notes give an introduction to the subject suitable for a student who has only a little familiarity with the theory of Hilbert ...
V. Jones, V. S. Sunder
openaire +1 more source
Subfactors have been a subject of considerable research activity for about fifteen years and are known to have significant relations with other fields such as low dimensional topology and algebraic quantum field theory. These notes give an introduction to the subject suitable for a student who has only a little familiarity with the theory of Hilbert ...
V. Jones, V. S. Sunder
openaire +1 more source
1998
Abstract V. F. R. Jones initiated subfactor theory in (Jones 1983) and it has since revolutionized the theory of von Neumann algebras. Furthermore, the discovery of the Jones polynomial, a link invariant, in (Jones 1985) has revealed a truly surprising relation between the operator algebra theory and low-dimensional topology and ...
David E Evans, Yasuyuki Kawahigashi
openaire +1 more source
Abstract V. F. R. Jones initiated subfactor theory in (Jones 1983) and it has since revolutionized the theory of von Neumann algebras. Furthermore, the discovery of the Jones polynomial, a link invariant, in (Jones 1985) has revealed a truly surprising relation between the operator algebra theory and low-dimensional topology and ...
David E Evans, Yasuyuki Kawahigashi
openaire +1 more source
STRONGLY FREE ACTIONS ON SUBFACTORS
International Journal of Mathematics, 1993For actions on arbitrary inclusions of factors with finite index, we define an algebraic property called "strong freeness". In the case of strongly amenable subfactors of type II∞ or IIIλ (0 < λ < 1), this property is shown to be a characterization of centrally free actions.
openaire +1 more source
NOTES ON SUBFACTORS AND STATISTICAL MECHANICS
International Journal of Modern Physics A, 1990A lot has been made in the last few years of connections between knot theory, statistical mechanics, field theory and von Neumann algebras. Because of their more technical nature, the von Neumann algebras have tended to be neglected in surveys. This is not an accurate reflection of their fundamental role in the subject, both as a continuing inspiration
openaire +2 more sources
Subfactor realisation of modular invariants from the double of the 2D2 subfactor
Journal of Physics A: Mathematical and Theoretical, 2015We study the problem of the subfactor realisation for the modular invariants arising from the quantum double of the subfactor. Of its 82 modular invariants, at least 64 are not realised by subfactors whereas at least 6 are realised by subfactors.
openaire +1 more source
Compact hypergroups from discrete subfactors
Journal of Functional Analysis, 2021Marcel Bischoff +2 more
exaly