Infinite-Dimensionality in Quantum Foundations: W*-algebras as Presheaves over Matrix Algebras

In this paper, W*-algebras are presented as canonical colimits of diagrams of matrix algebras and completely positive maps. In other words, matrix algebras are dense in W*-algebras.

Sonraí bibleagrafaíochta
Príomhchruthaitheoirí:	Rennela, M, Staton, S, Furber, R
Formáid:	Conference item
Foilsithe / Cruthaithe:	Open Publishing Association 2017

Míreanna comhchosúla

Infinite-Dimensionality in Quantum Foundations: W*-algebras as Presheaves over Matrix Algebras
de réir: Mathys Rennela, et al.
Foilsithe / Cruthaithe: (2017-01-01)

Effect algebras, presheaves, contextuality and non-locality
de réir: Staton, S, et al.
Foilsithe / Cruthaithe: (2018)

Effect algebras, presheaves, non-locality and contextuality
de réir: Staton, S, et al.
Foilsithe / Cruthaithe: (2015)

Infinite dimensional groups and algebras in quantum physics /
de réir: Ottesen, Johnny T., 1959-
Foilsithe / Cruthaithe: (1995)

Infinite-Dimensional Algebras as Extensions of Kinematic Algebras
de réir: Joaquim Gomis, et al.
Foilsithe / Cruthaithe: (2022-07-01)

Quantum Probability, Renormalization and Infinite-Dimensional *-Lie Algebras
de réir: Luigi Accardi, et al.
Foilsithe / Cruthaithe: (2009-05-01)

Infinite-dimensional lie algebras /
de réir: 249684 Amayo, Ralph K., et al.
Foilsithe / Cruthaithe: (1974)

H*−algebras and nonunital Frobenius algebras: first steps in infinite−dimensional categorical quantum mechanics
de réir: Abramsky, S, et al.
Foilsithe / Cruthaithe: (2012)

Cohomology of Presheaves of Monoids
de réir: Pilar Carrasco, et al.
Foilsithe / Cruthaithe: (2020-01-01)

Presheaves on midsymmetrical quantaloids
de réir: Remigijus Petras Gylys
Foilsithe / Cruthaithe: (2001-12-01)

On complete reducibility for infinite-dimensional Lie algebras
de réir: Gorelik, Maria, et al.
Foilsithe / Cruthaithe: (2011)

On q-deformed infinite-dimensional n-algebra
de réir: Lu Ding, et al.
Foilsithe / Cruthaithe: (2016-03-01)

Isomorphism of Matrix Algebras over Cuntz Algebras
de réir: Humam Afif, et al.
Foilsithe / Cruthaithe: (2025-01-01)

Motivic zeta functions of infinite-dimensional Lie algebras
de réir: Du Sautoy, M, et al.
Foilsithe / Cruthaithe: (2004)

RIEMANN SURFACES, CLIFFORD ALGEBRAS AND INFINITE DIMENSIONAL GROUPS
de réir: Carey, A, et al.
Foilsithe / Cruthaithe: (1990)

On the q-deformation of certain infinite dimensional lie algebras /
de réir: 334111 El Kinani, E. H., et al.
Foilsithe / Cruthaithe: (1995)

Solitons : differential equations, symmetries, and infinite dimensional algebras /
de réir: 260337 Miwa, T. (Tetsuji), et al.
Foilsithe / Cruthaithe: (2000)

Riemann surfaces, Clifford algebras and infinite dimensional groups
de réir: Carey, A, et al.
Foilsithe / Cruthaithe: (1990)

Infinite-Dimensional Lie Groups and Algebras in Mathematical Physics
de réir: Rudolf Schmid
Foilsithe / Cruthaithe: (2010-01-01)

A Kind of Infinite-Dimensional Novikov Algebras and Its Realizations
de réir: Liangyun Chen
Foilsithe / Cruthaithe: (2013-01-01)

Quantization and irreducible representations of infinite-dimensional transformation groups and Lie algebras
de réir: Paul R. Chernoff
Foilsithe / Cruthaithe: (2000-07-01)

Innocent Strategies as Presheaves and Interactive Equivalences for CCS
de réir: T. Hirschowitz, et al.
Foilsithe / Cruthaithe: (2012-06-01)

Stochastic Relational Presheaves and Dynamic Logic for Contextuality
de réir: Kohei Kishida
Foilsithe / Cruthaithe: (2014-12-01)

Matrix algebra /
de réir: Abadir, Karim M., 1964-, et al.
Foilsithe / Cruthaithe: (2005)

Complete positivity and natural representation of quantum computations
de réir: Rennela, M, et al.
Foilsithe / Cruthaithe: (2015)

Classical control and quantum circuits in enriched category theory
de réir: Rennela, M, et al.
Foilsithe / Cruthaithe: (2018)

On the isomorphism class of $q$-Gaussian W$^\ast $-algebras for infinite variables
de réir: Caspers, Martijn
Foilsithe / Cruthaithe: (2023-12-01)

On the R-matrix realization of quantum loop algebras
de réir: A. Liashyk, S. Z. Pakuliak
Foilsithe / Cruthaithe: (2022-05-01)

Classical control, quantum circuits and linear logic in enriched category theory
de réir: Rennela, M, et al.
Foilsithe / Cruthaithe: (2020)

C*-algebras and W*-algebras /
de réir: 321193 Sakai, Shoichiro
Foilsithe / Cruthaithe: (1971)

Foundations of algebraic topology /
de réir: 430157 Eilenberg, Samuel, et al.
Foilsithe / Cruthaithe: (1952)

W $$ \mathcal{W} $$ algebras are L∞ algebras
de réir: Ralph Blumenhagen, et al.
Foilsithe / Cruthaithe: (2017-07-01)

On two-dimensional power associative algebras over algebraically closed fields and R
de réir: Hussein Ahmed, Houida Mohammed, et al.
Foilsithe / Cruthaithe: (2019)

Finite and infinite dimensional linear spaces : A comparative study in algebraic and analytic /
de réir: 393846 Jarvinen, Richard D.
Foilsithe / Cruthaithe: (1981)

Infinite-dimensional Lie Algebras, Representations, Hermitian Duality and the Operators of Stochastic Calculus
de réir: Palle Jorgensen, et al.
Foilsithe / Cruthaithe: (2016-05-01)

Categorical Formulation of Finite-Dimensional Quantum Algebras
de réir: Vicary, J
Foilsithe / Cruthaithe: (2011)

Categorical formulation of finite−dimensional quantum algebras
de réir: Vicary, J
Foilsithe / Cruthaithe: (2010)

Quantum counterparts of three-dimensional real Lie algebras over harmonic oscillator
de réir: Paal Eugen, et al.
Foilsithe / Cruthaithe: (2010-06-01)

On infinite symmetry algebras in Yang-Mills theory
de réir: Laurent Freidel, et al.
Foilsithe / Cruthaithe: (2023-12-01)

Infinite symmetric products of rational algebras and spaces
de réir: Hu, Jiahao, et al.
Foilsithe / Cruthaithe: (2022-03-01)