List questions from c-star-algebras

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

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Is the set of affiliated elements an algebra?

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

Published on 11 Apr 2026 - 14:32

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

Published on 11 Apr 2026 - 14:51

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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

499

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

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

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37

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$C^{\ast}(\{ a \} \rvert \{a=a^\ast\})$ does not exist

Published on 11 Apr 2026 - 11:11

146

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What is $K_1(B(H))$? (operator K-theory)

Published on 09 Apr 2026 - 10:12

99

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Ideals in $C^*$-tensor products

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44

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Do we have $C_0(\mathbb{R}) \cong \{f \in C(S^1): f(1)=0\}$?

Published on 01 Jun 2021 - 16:14

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$h_*$ is cofibre theory and $...\to A_k\to A_{k-1}\to ...$ is cofibre sequence. Then $...\to h_n(A_k)\to h_n(A_{k-1})\to ...$ is exact.

Published on 02 Jun 2021 - 6:55

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Is $-i \exp(i\pi a/2) = a$ in a unital $C^*$-algebra?

Published on 10 Apr 2026 - 4:23

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The norm of the difference of two states

Published on 11 Apr 2026 - 12:56

List Question

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?

Is the set of affiliated elements an algebra?

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

$C^{\ast}(\{ a \} \rvert \{a=a^\ast\})$ does not exist

What is $K_1(B(H))$? (operator K-theory)

Ideals in $C^*$-tensor products

Do we have $C_0(\mathbb{R}) \cong \{f \in C(S^1): f(1)=0\}$?

$h_*$ is cofibre theory and $...\to A_k\to A_{k-1}\to ...$ is cofibre sequence. Then $...\to h_n(A_k)\to h_n(A_{k-1})\to ...$ is exact.

Is $-i \exp(i\pi a/2) = a$ in a unital $C^*$-algebra?

The norm of the difference of two states

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