Question

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

score 62 · Answer 1 · 2020-05-17 14:05:20

62

Views

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

Published on 17 May 2020 - 14:05

score 276 · Answer 2 · 2020-05-17 14:36:18

276

Views

Algebra of compact operators is CCR algebra

Published on 17 May 2020 - 14:36

score 39 · Answer 3 · 2026-03-26 19:04:03

39

Views

Deterministic matrix with prescribed limit distribution

Published on 26 Mar 2026 - 19:04

score 27 · Answer 4 · 2020-05-17 19:33:31

27

Views

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

Published on 17 May 2020 - 19:33

score 73 · Answer 5 · 2020-05-17 20:13:26

73

Views

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

Published on 17 May 2020 - 20:13

score 45 · Answer 6 · 2020-05-18 08:34:54

45

Views

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

Published on 18 May 2020 - 8:34

score 197 · Answer 7 · 2020-05-18 12:33:32

197

Views

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

Published on 18 May 2020 - 12:33

score 61 · Answer 8 · 2026-03-25 15:51:35

61

Views

Why shift operator is not homotopic to 1 ($K_1$-approach)?

Published on 25 Mar 2026 - 15:51

score 207 · Answer 9 · 2026-02-23 06:37:59

207

Views

kernel of Haagerup tensor product of maps

Published on 23 Feb 2026 - 6:37

score 270 · Answer 10 · 2020-05-21 16:45:39

270

Views

Inseparable $C^*$-algebras

Published on 21 May 2020 - 16:45

score 63 · Answer 11 · 2020-05-23 15:24:24

63

Views

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

Published on 23 May 2020 - 15:24

score 81 · Answer 12 · 2026-03-27 18:27:59

81

Views

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

score 93 · Answer 13 · 2020-05-24 13:46:25

Let $\phi:A\rightarrow B$. Then if $b\in B_{sa}\cap\operatorname{ Inv}(B)$, there is $a\in A_{sa}\cap \operatorname{Inv}(A)$ s.t. $\phi(a)=b$

score 80 · Answer 14 · 2026-02-23 10:21:48

80

Views

For every projection $p$ and normal $a$ in a C-algebra $A$ (with $ap=pa$), there is a $$-isomorphism $C(\sigma(a))\to C^{*}(a,p)$ such that ...

Published on 23 Feb 2026 - 10:21

score 246 · Answer 15 · 2020-05-30 22:20:55

246

Views

Is there a proper ideal of $B(H)$ that contains a proper projection

Published on 30 May 2020 - 22:20

List Question

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

Algebra of compact operators is CCR algebra

Deterministic matrix with prescribed limit distribution

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

Why shift operator is not homotopic to 1 ($K_1$-approach)?

kernel of Haagerup tensor product of maps

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 $\|T\|=\|T|_{B}\|$

Let $\phi:A\rightarrow B$. Then if $b\in B_{sa}\cap\operatorname{ Inv}(B)$, there is $a\in A_{sa}\cap \operatorname{Inv}(A)$ s.t. $\phi(a)=b$

For every projection $p$ and normal $a$ in a C-algebra $A$ (with $ap=pa$), there is a $$-isomorphism $C(\sigma(a))\to C^{*}(a,p)$ such that ...

Is there a proper ideal of $B(H)$ that contains a proper projection

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