List questions from c-star-algebras

Published on 09 Apr 2026 - 17:25

148

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Proof of Kaplansky density theorem

Published on 09 Apr 2026 - 12:18

556

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Uniqueness of C* norm and tensor product of C* algebra

Published on 10 Apr 2026 - 19:36

222

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Prove that $v=vv^*v$ for a partial isometry $v$.

Published on 12 Apr 2026 - 0:44

58

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Estimating the norm of a matrix in $M_n(\mathbb{C})$.

Published on 26 Mar 2026 - 6:05

71

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Given a commutative C* algebra, can we tell if it is a function ring of some manifold to $\mathbb{R}$(or $\mathbb{C}$)?

Published on 11 Apr 2026 - 11:16

119

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Generalization of the Spectral Theorem to arbitrary matrices

Published on 06 Apr 2026 - 9:21

45

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$I$ is a separable closed ideal of $A$. Does $I$ always have sequential quasicentral approximate unit?

Published on 02 May 2021 - 8:44

124

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Slice maps on a von Neumann algebra completely positive?

Published on 31 Mar 2026 - 5:18

64

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Characterisation of positive matrices

Published on 11 Apr 2026 - 1:40

87

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Conjugation with a unitary is $\sigma$-weakly continuous.

Published on 31 Mar 2026 - 7:31

120

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Definition of $$-endomorphisms on a $C^$-algebra

Published on 05 May 2021 - 12:27

65

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How to show that $C^{\ast}(\{1, a \} \mid \{ a=a^\ast, ||a|| \leqslant 1\}) \cong C([-1,1])$

Published on 11 May 2021 - 15:07

80

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A group isomorphism $\text{Homeo}(X)\to\text{Aut}(C(X))$?

Published on 04 Apr 2026 - 1:53

63

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query on C* algebra definition

Published on 10 Apr 2026 - 8:48

List Question

Bounded sequence in spatial tensor product and boundedness of simple tensor summands

Proof of Kaplansky density theorem

Uniqueness of C* norm and tensor product of C* algebra

Prove that $v=vv^*v$ for a partial isometry $v$.

Estimating the norm of a matrix in $M_n(\mathbb{C})$.

Given a commutative C* algebra, can we tell if it is a function ring of some manifold to $\mathbb{R}$(or $\mathbb{C}$)?

Generalization of the Spectral Theorem to arbitrary matrices

$I$ is a separable closed ideal of $A$. Does $I$ always have sequential quasicentral approximate unit?

Slice maps on a von Neumann algebra completely positive?

Characterisation of positive matrices

Conjugation with a unitary is $\sigma$-weakly continuous.

Definition of $$-endomorphisms on a $C^$-algebra

How to show that $C^{\ast}(\{1, a \} \mid \{ a=a^\ast, ||a|| \leqslant 1\}) \cong C([-1,1])$

A group isomorphism $\text{Homeo}(X)\to\text{Aut}(C(X))$?

query on C* algebra definition

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