On the Homology Theory of Operator Algebras by Alaa Hassan Noreldeen

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Conditional Expectations for Unbounded Operator Algebras by Atsushi Inoue, Hidekazu Ogi, Mayumi Takakura

“…Two conditional expectations in unbounded operator algebras (O∗-algebras) are discussed. One is a vector conditional expectation defined by a linear map of an O∗-algebra into the Hilbert space on which the O∗-algebra acts. …”
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Strictly Cyclic Functionals, Reflexivity, and Hereditary Reflexivity of Operator Algebras by Quanyuan Chen, Xiaochun Fang

“…Moreover, we construct a semisimple abelian operator algebra having a strictly cyclic functional but having no strictly cyclic vectors. …”
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Operator algebra, quantum entanglement, and emergent geometry from matrix degrees of freedom by Vaibhav Gautam, Masanori Hanada, Antal Jevicki

“…Abstract For matrix model and QFT, we discuss how dual gravitational geometry emerges from matrix degrees of freedom (specifically, adjoint scalars in super Yang-Mills theory) and how operator algebra that describes an arbitrary region of the bulk geometry can be constructed. …”
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Analysis of Local Stability for Passive Walking Robot based on Spatial Operator Algebra Theory by Fei Lou, Wei Shen, Jing Guan, Guolin Ni

“…In order to achieve stable control, the Poincare-mapping function is built by using spatial operator algebra (SOA) and the swing phase and impact phase dynamics equation of the passive walking robot are deduced. …”
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Gravitational Algebras and Applications to Nonequilibrium Physics by Michele Cirafici

Subjects: “…operator algebras…”
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On hyper-reflexivity of some operator spaces by H. S. Mustafayev

Subjects: “…operator algebras on Hilbert spaces…”
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A note on strictly cyclic Shifts on ℓp by Gerd H. Fricke

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Entanglement wedge reconstruction using the Petz map by Chi-Fang Chen, Geoffrey Penington, Grant Salton

“…From a quantum information perspective, we prove a general theorem extending the use of the Petz map as a general-purpose recovery channel to subsystem and operator algebra quantum error correction.…”
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A construction of some ideals in affine vertex algebras by Draen AdamoviĆ

“…We study ideals generated by singular vectors in vertex operator algebras associated with representations of affine Lie algebras of types A and C. …”
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On extensions of gl m n ⏜ $$ \mathfrak{gl}\widehat{\left(\left.m\right|n\right)} $$ Kac-Moody algebras and Calabi-Yau singularities by Miroslav Rapčák

“…Abstract We discuss a class of vertex operator algebras W m n × ∞ $$ {\mathcal{W}}_{\left.m\right|n\kern0.33em \times \kern0.33em \infty } $$ generated by a super- matrix of fields for each integral spin 1, 2, 3, . . . . …”
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Toeplitz Operators on the Weighted Bergman Space over the Two-Dimensional Unit Ball by Alma García, Nikolai Vasilevski

“…Spherical coordinates previously used hid a possibility to detect an essentially wider class of symbols that can generate commutative Banach Toeplitz operator algebras. We characterize these new algebras describing their properties and, under a certain extra condition, construct the corresponding Gelfand theory.…”
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Entanglement in BF theory. Part I. Essential topological entanglement by Jackson R. Fliss, Stathis Vitouladitis

“…We define two appropriate notions of subregion operator algebras which are related by a form of electric-magnetic duality. …”
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