Results 1 to 10 of about 1,572 (164)

Study of Three Different Operator Algebras and Some Contribution of Operator Algebra in Mathematics

International Journal of Scientific Research in Science and Technology, 2022
In this present paper, we studied about three different ways one may look at operator algebras and some classical applications of operator algebras in mathematics and mathematical physics. [1-2].
null Surendra Ray, null Chandra Deo Pathak, null Dr. Rajeshwar Prasad Yadav   +2 more
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Mathematical modeling for learning algebraic operation [PDF]

Journal of Education and Learning (EduLearn), 2019
This study aims to produce a learning trajectory using the mathematical modeling in helping students to understand the concept of algebraic operations. Therefore, the design research was chosen to meet the research aims and to give in formulating and developing local instructional theory in learning algebraic operations.Learning trajectory designed in ...
Diah Dwi Santri, Yusuf Hartono, Somakim
openaire   +1 more source

One functional operator inversion formula

Mathematical Modelling and Analysis, 2001
Some results about inversion formula of functional operator with generalized dilation are given. By means of commutative Banach algebra theory the explicit form of inversion operator is expressed. Some commutative Banach algebras with countable generator
P. Plaschinsky
doaj   +1 more source

Decomposable approximations of nuclear C^*-algebras [PDF]

, 2012
We show that nuclear <i>C</i>^*-algebras have a refined version of the completely positive approximation property, in which the maps that approximately factorize through finite dimensional algebras are convex ...
Kirchberg, Eberhard, White, Stuart, Kirchberg, E., White, S., Hirshberg, I., Hirshberg, Ilan   +5 more
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Perturbations of C*-algebraic invariants [PDF]

, 2010
Kadison and Kastler introduced a metric on the set of all C*-algebras on a fixed Hilbert space. In this paper structural properties of C*-algebras which are close in this metric are examined.
White, Stuart, Smith, Roger R., Sinclair, A., Smith, R.R., Roger R. Smith, White, S., Erik Christensen, Christensen, E., Christensen, Erik, Sinclair, Allan M., Allan Sinclair, Stuart White   +11 more
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Type II₁ factors satisfying the spatial isomorphism conjecture [PDF]

, 2012
This paper addresses a conjecture in the work by Kadison and Kastler [Kadison RV, Kastler D (1972) Am J Math 94:38–54] that a von Neumann algebra M on a Hilbert space H should be unitarily equivalent to each sufficiently close von Neumann algebra N, and,
Smith, Roger R., Smith, R.R., Sinclair, A.M., Stuart A. White, Jan Cameron, Roger R. Smith, Cameron, J., Sinclair, Allan M., Wiggins, A.D., Allan M. Sinclair, White, Stuart, Wiggins, Alan D., Erik Christensen, White, S.A., Christensen, E., Christensen, Erik, Alan D. Wiggins, Cameron, Jan   +17 more
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Quantum SU(2) and the Baum-Connes conjecture [PDF]

, 2012
We review the formulation and proof of the Baum-Connes conjecture for the dual of the quantum group $ SU_q(2) $ of Woronowicz. As an illustration of this result we determine the $ K $-groups of quantum automorphism groups of simple matrix ...
Voigt, Christian
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ASyMOB: Algebraic Symbolic Mathematical Operations Benchmark

CoRR
Code repository: https://github.com/RamanujanMachine/ASyMOB Complete benchmark dataset: https://huggingface.co/datasets/Shalyt/ASyMOB ...
Michael Shalyt, Rotem Elimelech, Ido Kaminer   +2 more
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K-theory for group C*-algebras

, 2011
These notes are based on a lecture course given by the first author in the Sedano Winter School on K-theory held in Sedano, Spain, on January 22-27th of 2007.
Baum, Paul, Sanchez-Garcia, Ruben
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Classification of limits of upper triangular matrix algebras. [PDF]

, 1993
Let Tn be the operator algebra of upper triangular n × n complex matrices. Three families of limit algebras of the form lim (Tnk) are classified up to isometric algebra isomorphism: (i) the limit algebras arising when the embeddings Tnk→Tnk+1, are ...
Hopenwasser, A. L., Power, Stephen C.
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