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Semiautomorphic Inverse Property Loops [PDF]
, 2015 We define a variety of loops called semiautomorphic, inverse property loops that generalize Moufang and Steiner loops. We first show an equivalence between a previously studied variety of loops.
Greer, Mark
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The paraunitary group of a von Neumann algebra
Bulletin of the London Mathematical Society, Volume 54, Issue 4, Page 1220-1231, August 2022., 2022 Abstract It is proved that the pure paraunitary group over a von Neumann algebra coincides with the structure group of its projection lattice. The structure group of an arbitrary orthomodular lattice (OML) is a group with a right invariant lattice order, and as such it is known to be a complete invariant of the OML.
Carsten Dietzel, Wolfgang Rump
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On the essential commutant of analytic Toeplitz operators associated with spherical isometries
Journal of Functional Analysis, 2011 Michael Didas, Jörg Eschmeier
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Multi-Frame Vectors for Unitary Systems in Hilbert $C^{*}$-modules [PDF]
Sahand Communications in Mathematical Analysis, 2019 In this paper, we focus on the structured multi-frame vectors in Hilbert $C^*$-modules. More precisely, it will be shown that the set of all complete multi-frame vectors for a unitary system can be parameterized by the set of all surjective operators, in
Mohammad Mahmoudieh +2 more
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WZW Commutants, Lattices, and Level 1 Partition Functions [PDF]
, 1992 A natural first step in the classification of all `physical' modular invariant partition functions $\sum N_{LR}\,\c_L\,\C_R$ lies in understanding the commutant of the modular matrices $S$ and $T$.
Bais +29 more
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Making Almost Commuting Matrices Commute [PDF]
Communications in Mathematical Physics, 2009 Suppose two Hermitian matrices $A,B$ almost commute ($\Vert [A,B] \Vert \leq $). Are they close to a commuting pair of Hermitian matrices, $A',B'$, with $\Vert A-A' \Vert,\Vert B-B'\Vert \leq $? A theorem of H. Lin shows that this is uniformly true, in that for every $ >0$ there exists a $ >0$, independent of the size $N$ of the matrices ...
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Journal of the London Mathematical Society, Volume 105, Issue 4, Page 2324-2372, June 2022., 2022 Abstract We classify extremal traces on the seven direct limit algebras of noncrossing partitions arising from the classification of free partition quantum groups of Banica–Speicher [5] and Weber [42]. For the infinite‐dimensional Temperley–Lieb algebra (corresponding to the quantum group ON+$O^+_N$) and the Motzkin algebra (BN+$B^+_N$), the ...
Jonas Wahl
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The dual pair Pin(2n)×osp(1|2), the Dirac equation and the Bannai–Ito algebra
Nuclear Physics B, 2018 The Bannai–Ito algebra can be defined as the centralizer of the coproduct embedding of osp(1|2) in osp(1|2)⊗n. It will be shown that it is also the commutant of a maximal Abelian subalgebra of o(2n) in a spinorial representation and an embedding of the ...
Julien Gaboriaud +3 more
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von Neumann algebras in JT gravity
Journal of High Energy Physics, 2023 We quantize JT gravity with matter on the spatial interval with two asymptotically AdS boundaries. We consider the von Neumann algebra generated by the right Hamiltonian and the gravitationally dressed matter operators on the right boundary.
David K. Kolchmeyer
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Proceedings of the American Mathematical Society, 1987 Let R R be a principal ideal ring and M k , n {M_{k,n}} the set of k × n k \times n matrices over R R . The following statments are proved: (a) If k ≤ n
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