We generalize the notion of spectral triple with reality structure to triples multitwisted real structure, class which is closed under tensor product composition. In particular, we introduce a first-order condition (characterizing Dirac operators as an analogue differential operator). This provides unified description known examples, include rescaled conformal factor from commutant algebra and ...

We quantize JT gravity with matter on the spatial interval two asymptotically AdS boundaries. consider von Neumann algebra generated by right Hamiltonian and gravitationally dressed operators boundary. prove that commutant of this is analogously defined left boundary both algebras are type II$_\infty$ factors. These provide a precise notion entanglement wedge away from semiclassical limit. comm...

We provide a characterization of the commutant analytic Toeplitz operators TB induced by finite Blaschke products B acting on weighted Bergman spaces which, as particular instance, yields case B(z)=zn space solved recently Abkar, Cao and Zhu [1]. Moreover, it extends previous results Cowen Wahl in this context applies to other Banach functions such Hardy Hp for 1<p<?. Finally, we apply approach...

Abstract. We consider semidefinite programming problems on which a permutation group is acting. We describe a general technique to reduce the size of such problems, exploiting the symmetry. The technique is based on a low-order matrix ∗-representation of the commutant (centralizer ring) of the matrix algebra generated by the permutation matrices. We apply it to extending a method of de Klerk et...

A functional model for nondissipative unbounded perturbations of an unbounded self-adjoint operator on a Hilbert space X is constructed. This model is analogous to the Nagy– Foias model of dissipative operators, but it is linearly similar and not unitarily equivalent to the operator. It is attached to a domain of parabolic type, instead of a half-plane. The transformation map from X to the mode...