List questions from c-star-algebras

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Are compactly supported states preserved by adjoints of proper *-homomorphisms?

Published on 25 Mar 2026 - 22:04

95

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Surjectivity of unitization functor of C*-algebras

Published on 01 Apr 2026 - 22:35

76

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If every unital, positive map $\phi:S\to M_n$ is completely positive, then every positive map $\phi:S\to M_n$ is completely positive

Published on 23 Feb 2026 - 4:47

58

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Proposition 3 from Chapter 2 of Dixmier's Von Neumann Algebras

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105

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Extension of $\{f\in C([0, 1], B)\,\vert\, f(0)=f(1)=0\}$ by $A$ with $\ast$-homomorphism $\phi:A\rightarrow B$

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92

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Multiplier algebra as idealizer in fourth dual

Published on 25 Mar 2026 - 23:37

78

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Inverse image of invertible element under surjective C*-homomorphism

Published on 01 Apr 2026 - 22:36

108

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A normal element in a Banach $*$-algebra with real spectrum but not self-adjoint

Published on 31 Mar 2026 - 23:32

81

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On the convergence of approximate units for C*-algebras.

Published on 02 Apr 2026 - 0:31

16

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inclusion of von Neumann algebras implies reversing inequality of its modular operators

Published on 10 Mar 2026 - 8:42

121

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Idea about the projections of the $C^*$-algebra $pAp$, where $p$ is a projection in $A$

Published on 28 Mar 2026 - 2:07

32

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Multiplicativity of order relation for self-adjoint operators

Published on 02 Apr 2026 - 0:31

84

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Norm on inductive limit

Published on 30 Mar 2023 - 7:46

171

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Proof of the Gelfand-Naimark Theorem

Published on 26 Mar 2026 - 4:16

List Question

The reduction of a Von Neumann algebra's center is the center of its own reduction

Are compactly supported states preserved by adjoints of proper *-homomorphisms?

Surjectivity of unitization functor of C*-algebras

If every unital, positive map $\phi:S\to M_n$ is completely positive, then every positive map $\phi:S\to M_n$ is completely positive

Proposition 3 from Chapter 2 of Dixmier's Von Neumann Algebras

Extension of $\{f\in C([0, 1], B)\,\vert\, f(0)=f(1)=0\}$ by $A$ with $\ast$-homomorphism $\phi:A\rightarrow B$

Multiplier algebra as idealizer in fourth dual

Inverse image of invertible element under surjective C*-homomorphism

A normal element in a Banach $*$-algebra with real spectrum but not self-adjoint

On the convergence of approximate units for C*-algebras.

inclusion of von Neumann algebras implies reversing inequality of its modular operators

Idea about the projections of the $C^*$-algebra $pAp$, where $p$ is a projection in $A$

Multiplicativity of order relation for self-adjoint operators

Norm on inductive limit

Proof of the Gelfand-Naimark Theorem

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