Question

$L^1(G)$ is a $C^*$-algebra $\iff$ $G$ is trivial

score 142 · Answer 1 · 2021-09-15 12:25:52

142

Views

$L^1(G)$ is a $C^*$-algebra $\iff$ $G$ is trivial

Published on 15 Sep 2021 - 12:25

score 32 · Answer 2 · 2026-04-11 23:54:56

32

Views

Ideals of $A\otimes\mathcal{C}_0(0,1]$ for $A$ a simple unital $C^*$ algebra

Published on 11 Apr 2026 - 23:54

score 56 · Answer 3 · 2026-04-12 04:42:39

56

Views

Explicit isomorpshim between $C^*(\mathbb{Z})$ and $C(S^1)$

Published on 12 Apr 2026 - 4:42

score 45 · Answer 4 · 2026-04-11 22:02:10

45

Views

States given by Dirac measure

Published on 11 Apr 2026 - 22:02

score 43 · Answer 5 · 2021-09-21 17:02:52

43

Views

If two dense subset tensor product together, are the resultant set dense in minimal norm(C*-algebras)?

Published on 21 Sep 2021 - 17:02

score 85 · Answer 6 · 2026-04-12 12:12:42

85

Views

On the proof of Gelfand formula in $C^{\star}$-algebra

Published on 12 Apr 2026 - 12:12

score 51 · Answer 7 · 2026-03-25 15:58:53

51

Views

Showing that $\sigma_A (a) = \sigma_C (A).$

Published on 25 Mar 2026 - 15:58

score 410 · Answer 8 · 2026-04-12 11:40:54

410

Views

A question about tensor product of Hilbert spaces and operators

Published on 12 Apr 2026 - 11:40

score 60 · Answer 9 · 2026-04-12 09:44:09

60

Views

Trying to understand the proof of the fact $X$ is ternary $C^*$-ring then $X^{**}$ is also ternary $C^*$-ring.

Published on 12 Apr 2026 - 9:44

score 255 · Answer 10 · 2026-04-12 02:00:36

255

Views

In precisely what sense is the universal representation of a C*-algebra "universal"?

Published on 12 Apr 2026 - 2:00

score 323 · Answer 11 · 2026-04-11 11:48:25

323

Views

How to think of functional calculus for C*-algebras

Published on 11 Apr 2026 - 11:48

score 38 · Answer 12 · 2026-04-09 10:03:47

38

Views

Why is $\mathcal H_B\oplus \mathcal H_B\simeq \mathcal H_B$? Question about Hilbert $C^*$-modules and Kasparov's $KK$-Theory.

Published on 09 Apr 2026 - 10:03

score 115 · Answer 13 · 2026-04-01 14:02:52

115

Views

Prove that $A + \mathbb C 1_{B}$ is isometrically isomorphic to the unitization $A^+$ of $A$ as complex $C^{\ast}$-algebras.

Published on 01 Apr 2026 - 14:02

score 208 · Answer 14 · 2026-04-11 21:24:52

208

Views

If $A$ is a non-unital $C^*$-algebra then $\widehat {A}$ can never be compact with respect to the Gelfand topology.

Published on 11 Apr 2026 - 21:24

score 174 · Answer 15 · 2026-03-25 16:13:56

174

Views

1-dimensional foliation of surfaces with prescribed graph of foliation

Published on 25 Mar 2026 - 16:13

List Question

$L^1(G)$ is a $C^*$-algebra $\iff$ $G$ is trivial

Ideals of $A\otimes\mathcal{C}_0(0,1]$ for $A$ a simple unital $C^*$ algebra

Explicit isomorpshim between $C^*(\mathbb{Z})$ and $C(S^1)$

States given by Dirac measure

If two dense subset tensor product together, are the resultant set dense in minimal norm(C*-algebras)?

On the proof of Gelfand formula in $C^{\star}$-algebra

Showing that $\sigma_A (a) = \sigma_C (A).$

A question about tensor product of Hilbert spaces and operators

Trying to understand the proof of the fact $X$ is ternary $C^*$-ring then $X^{**}$ is also ternary $C^*$-ring.

In precisely what sense is the universal representation of a C*-algebra "universal"?

How to think of functional calculus for C*-algebras

Why is $\mathcal H_B\oplus \mathcal H_B\simeq \mathcal H_B$? Question about Hilbert $C^*$-modules and Kasparov's $KK$-Theory.

Prove that $A + \mathbb C 1_{B}$ is isometrically isomorphic to the unitization $A^+$ of $A$ as complex $C^{\ast}$-algebras.

If $A$ is a non-unital $C^*$-algebra then $\widehat {A}$ can never be compact with respect to the Gelfand topology.

1-dimensional foliation of surfaces with prescribed graph of foliation

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