Finite sums and products of commutators in inductive limit $C^*$-algebras

Klaus Thomsen

Displaying similar documents to “Finite sums and products of commutators in inductive limit $C^{*}$ -algebras”

Finite sums of commutators in $C^{*}$ -algebras

Thierry Fack (1982)

Annales de l'institut Fourier

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We prove that for many $C^{*}$ -algebras, the null space of all finite traces is spanned by finite sums of commutators.

Non-Leibniz algebras

D. Przeworska-Rolewicz (1983)

Studia Mathematica

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Polar decomposition in Rickart C*-algebras.

Dmitry Goldstein (1995)

Publicacions Matemàtiques

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A new proof is obtained to the following fact: a Rickart C*-algebra satisfies polar decomposition. Equivalently, matrix algebras over a Rickart C*-algebra are also Rickart C*-algebras.

Factoring the identity operator on a subspace of $l_{n}^{\infty}$

Piotr Mankiewicz (1989)

Studia Mathematica

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Extensions of certain real rank zero $C^{*}$ -algebras

Marius Dadarlat, Terry A. Loring (1994)

Annales de l'institut Fourier

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G. Elliott extended the classification theory of $A F$ -algebras to certain real rank zero inductive limits of subhomogeneous $C^{*}$ -algebras with one dimensional spectrum. We show that this class of $C^{*}$ -algebras is not closed under extensions. The relevant obstruction is related to the torsion subgroup of the $K_{1}$ -group. Perturbation and lifting results are provided for certain subhomogeneous $C^{*}$ -algebras.

On the best constant in the Khinchin-Kahane inequality

Rafał Latała, Krzysztof Oleszkiewicz (1994)

Studia Mathematica

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We prove that if $r_{i}$ is the Rademacher system of functions then ${(ʃ ∥ \sum_{i = 1}^{n} x_{i} r_{i} (t) ∥^{2} d t)}^{1 / 2} \leq \sqrt 2 ʃ ∥ \sum_{i = 1}^{n} x_{i} r_{i} (t) ∥ d t$ for any sequence of vectors $x_{i}$ in any normed linear space F.

Notes on a class of simple C*-algebras with real rank zero.

Kenneth R. Goodearl (1992)

Publicacions Matemàtiques

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A construction method is presented for a class of simple C*-algebras whose basic properties -including their real ranks- can be computed relatively easily, using linear algebra. A numerival invariant attached to the construction determines wether a given algebra has real rank 0 or 1. Moreover, these algebras all have stable rank 1, and each nonzero hereditary sub-C*-algebra contains a nonzero projection, yet there are examples in which the linear span of the projections is not dense....

On the embedding of 2-concave Orlicz spaces into L¹

Carsten Schütt (1995)

Studia Mathematica

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In [K-S 1] it was shown that $A v e_{π} (\sum_{i = 1}^{n} | x_{i} a_{π (i)} {|^{2})}^{1 / 2}$ is equivalent to an Orlicz norm whose Orlicz function is 2-concave. Here we give a formula for the sequence $a_{1}, . . ., a_{n}$ so that the above expression is equivalent to a given Orlicz norm.

Displaying similar documents to “Finite sums and products of commutators in inductive limit C * -algebras”

Displaying similar documents to “Finite sums and products of commutators in inductive limit $C^{*}$ -algebras”