List questions from c-star-algebras

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Why should we use inverse homemorphism here?

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Set of states not compact

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State space is weak* compact

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In a C-algebra, put $a^a \sim aa^*$. Transitivity fails?

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Polar decomposition of invertible elements in a unital C$ ^{*} $-algebra.

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proof that this is an isometric map (on a $C^*$-module)

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Separable reducing subspace of a representation

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Does a $C^*$ subalgebra of the centralizer of a unitary representation always contain the unit?

Published on 16 Mar 2013 - 12:48

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$*$-homomorphism between matrix algebras

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Help with proving: If $X$ is a Hilbert $A$-$B$-module, then $ \| _A \langle x,x \rangle \| = \| \langle x,x \rangle _B \| $ for all $x\in X $.

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Cube root in $ C^{*}$-algebra.

Published on 21 Mar 2013 - 3:27

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strictly positive elements in $C^*$-algebra

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A question about positive elements in $C^*$ algebras

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Positive elements in $C^*$-algebras

Published on 25 Mar 2013 - 0:16

List Question

-algebra, isomorphic to a C-algebra

Why should we use inverse homemorphism here?

Set of states not compact

State space is weak* compact

In a C-algebra, put $a^a \sim aa^*$. Transitivity fails?

Polar decomposition of invertible elements in a unital C$ ^{*} $-algebra.

proof that this is an isometric map (on a $C^*$-module)

Separable reducing subspace of a representation

Does a $C^*$ subalgebra of the centralizer of a unitary representation always contain the unit?

$*$-homomorphism between matrix algebras

Help with proving: If $X$ is a Hilbert $A$-$B$-module, then $ \| _A \langle x,x \rangle \| = \| \langle x,x \rangle _B \| $ for all $x\in X $.

Cube root in $ C^{*}$-algebra.

strictly positive elements in $C^*$-algebra

A question about positive elements in $C^*$ algebras

Positive elements in $C^*$-algebras

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