List questions from operator-algebras

94

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Let $E, F$ be projections in a von Neumann algebra such that $E ∼ E^⊥$ and $F ∼ F^⊥$. Show that $E ∼ F$.

Published on 02 Apr 2026 - 8:54

88

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On a distance formula for elements of $C^*$-algebras and closed left ideals

Published on 15 May 2021 - 21:47

52

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If element in $C^{\ast}$ algebra acts as multiplication by scalar is it equal to this scalar?

Published on 18 May 2021 - 17:22

118

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Borel functional calculus on reduced von Neumann algebra

Published on 11 Apr 2026 - 4:35

168

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Unital representations of matrices over a $C^$-algebra are inflations of unital representations of the $C^$-algebra

Published on 19 May 2021 - 11:13

76

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What does "weak continuity of the norm" means?

Published on 11 Apr 2026 - 7:00

142

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Twisted Crossed Product von Neumann Algebra

Published on 31 Mar 2026 - 9:55

55

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$B(l^2)$ is not postliminal. Why?

Published on 10 Apr 2026 - 14:41

449

Views

Confusion about the ability to extend a state on a C*-algebra to a normal state on a von Neumann algebra

Published on 02 Apr 2026 - 8:54

498

Views

Is the set of positive elements in a $C^*$-algebra norm closed?

Published on 11 Apr 2026 - 8:39

126

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Distance between two states in a C$^*$-algebra

Published on 31 Mar 2026 - 7:31

42

Views

identity matrices stably equivalent?

Published on 11 Apr 2026 - 9:16

112

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Connes-Stormer transtivity theorem

Published on 31 Mar 2026 - 7:35

98

Views

Ideals in $C^*$-tensor products

Published on 31 May 2021 - 20:09

65

Views

The norm of the difference of two states

Published on 07 Jun 2021 - 4:47

List Question

Let $E, F$ be projections in a von Neumann algebra such that $E ∼ E^⊥$ and $F ∼ F^⊥$. Show that $E ∼ F$.

On a distance formula for elements of $C^*$-algebras and closed left ideals

If element in $C^{\ast}$ algebra acts as multiplication by scalar is it equal to this scalar?

Borel functional calculus on reduced von Neumann algebra

Unital representations of matrices over a $C^$-algebra are inflations of unital representations of the $C^$-algebra

What does "weak continuity of the norm" means?

Twisted Crossed Product von Neumann Algebra

$B(l^2)$ is not postliminal. Why?

Confusion about the ability to extend a state on a C*-algebra to a normal state on a von Neumann algebra

Is the set of positive elements in a $C^*$-algebra norm closed?

Distance between two states in a C$^*$-algebra

identity matrices stably equivalent?

Connes-Stormer transtivity theorem

Ideals in $C^*$-tensor products

The norm of the difference of two states

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