A few remarks on intermediate subalgebras of an inclusion of -algebras
In this short note, we prove that the angle between intermediate $ C^* $-subalgebras of an
inclusion of simple $ C^* $-algebras with finite Watatani index is stable. The notion of angle …
inclusion of simple $ C^* $-algebras with finite Watatani index is stable. The notion of angle …
Some applications of group-theoretic Rips constructions to the classification of von Neumann algebras
We study various von Neumann algebraic rigidity aspects for the property (T) groups that
arise via the Rips construction developed by Belegradek and Osin (Groups Geom. Dyn. 2: 1 …
arise via the Rips construction developed by Belegradek and Osin (Groups Geom. Dyn. 2: 1 …
On possible values of the interior angle between intermediate subalgebras
We show that all values in the interval $[0,{\pi}/{2}] $ can be attained as interior angles
between intermediate subalgebras (as introduced by Bakshi and the first named author …
between intermediate subalgebras (as introduced by Bakshi and the first named author …
Quantum monadic algebras
J Harding - Journal of Physics A: Mathematical and Theoretical, 2022 - iopscience.iop.org
We introduce quantum monadic and quantum cylindric algebras. These are adaptations to
the quantum setting of the monadic algebras of Halmos, and cylindric algebras of Henkin …
the quantum setting of the monadic algebras of Halmos, and cylindric algebras of Henkin …
Relative position between a pair of spin model subfactors
Jones proposed the study of two subfactors of a $ II_1 $ factor as a quantization of two
closed subspaces in a Hilbert space. The Pimsner-Popa probabilistic constant, Sano …
closed subspaces in a Hilbert space. The Pimsner-Popa probabilistic constant, Sano …
Complete Positivity of Comultiplication and Primary Criteria for Unitary Categorification
In this paper, we investigate quantum Fourier analysis on subfactors and unitary fusion
categories. We prove the complete positivity of the comultiplication for subfactors and derive …
categories. We prove the complete positivity of the comultiplication for subfactors and derive …
Lattice of intermediate subalgebras
Analogous to subfactor theory, employing Watatani's notions of index and C∗‐basic
construction of certain inclusions of C∗‐algebras,(a) we develop a Fourier theory (consisting …
construction of certain inclusions of C∗‐algebras,(a) we develop a Fourier theory (consisting …
On orthogonal systems, two-sided bases and regular subfactors
arXiv:1904.05612v3 [math.OA] 27 Jul 2020 Page 1 arXiv:1904.05612v3 [math.OA] 27 Jul 2020
ON ORTHOGONAL SYSTEMS, TWO-SIDED BASES AND REGULAR SUBFACTORS KESHAB …
ON ORTHOGONAL SYSTEMS, TWO-SIDED BASES AND REGULAR SUBFACTORS KESHAB …
A note on irreducible quadrilaterals of factors
Given any quadruple (N, P, Q, M) of II 1-factors with finite index, the notions of interior and
exterior angles between P and Q were introduced in [An angle between intermediate …
exterior angles between P and Q were introduced in [An angle between intermediate …
Regular inclusions of simple unital -algebras
We prove that an inclusion $\mathcal {B}\subset\mathcal {A} $ of simple unital $ C^* $-
algebras with a finite-index conditional expectation is regular if and only if there exists a …
algebras with a finite-index conditional expectation is regular if and only if there exists a …