List questions from c-star-algebras

Published on 27 Mar 2026 - 16:47

28

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$beta$- KMS States

Published on 16 May 2020 - 10:54

58

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Spectrum of a Banach algebra VS spectrum of a $C^*$-algebra

Published on 27 Mar 2026 - 13:03

72

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Dimension of state space

Published on 16 May 2020 - 13:23

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Prove the uniqueness of the hereditary $C^*$ algebra generated by a positive element

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Prove the following are equivalent with irreducibility of representation on $C^*$-algebras

Published on 31 Mar 2026 - 10:15

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Is a representation $(H,\phi)$ of a simple C*-algebra $A$ always faithful?

Published on 31 Mar 2026 - 10:10

277

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Algebra of compact operators is CCR algebra

Published on 31 Mar 2026 - 10:08

28

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Show $C^*(S)/K(l^2(\mathbb{N})) \cong C(T)$

Published on 31 Mar 2026 - 10:07

74

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Is the center $Z$ of a C*-algebra $A$ unital if and only if $A$ is unital?

Published on 31 Mar 2026 - 10:13

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Ideals of $M_2(A)$ , $A$- non commutative non unital

Published on 31 Mar 2026 - 10:10

198

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Existence of non- normal element element in a non commutative C$^*$-algebra

Published on 31 Mar 2026 - 10:08

271

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Inseparable $C^*$-algebras

Published on 31 Mar 2026 - 10:04

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Is it true that all representations of $C_0(X,A)$ come from representations of $A$

Published on 31 Mar 2026 - 10:17

81

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If $B\subset B(H)$ is a C*-subalgebra and $T\colon B''\to B''$ is linear, bounded and weakly continuous, then $\|T\|=\|T|_{B}\|$

Published on 27 Mar 2026 - 18:27

List Question

On Direct integral decomposition of von Neumann algebras

$beta$- KMS States

Spectrum of a Banach algebra VS spectrum of a $C^*$-algebra

Dimension of state space

Prove the uniqueness of the hereditary $C^*$ algebra generated by a positive element

Prove the following are equivalent with irreducibility of representation on $C^*$-algebras

Is a representation $(H,\phi)$ of a simple C*-algebra $A$ always faithful?

Algebra of compact operators is CCR algebra

Show $C^*(S)/K(l^2(\mathbb{N})) \cong C(T)$

Is the center $Z$ of a C*-algebra $A$ unital if and only if $A$ is unital?

Ideals of $M_2(A)$ , $A$- non commutative non unital

Existence of non- normal element element in a non commutative C$^*$-algebra

Inseparable $C^*$-algebras

Is it true that all representations of $C_0(X,A)$ come from representations of $A$

If $B\subset B(H)$ is a C*-subalgebra and $T\colon B''\to B''$ is linear, bounded and weakly continuous, then $\|T\|=\|T|_{B}\|$

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