Question

An inequality involving states and positive linear functional on a $C^*$-algebra

score 59 · Answer 1 · 2026-04-02 05:29:20

59

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An inequality involving states and positive linear functional on a $C^*$-algebra

Published on 02 Apr 2026 - 5:29

score 70 · Answer 2 · 2026-03-26 06:31:45

70

Views

If an element $b$ of a $C^*$-algebra $B$ is self-adjoint with $\delta=\|b-b^2\|<\frac14$ then there is a projection $p\in B$ with $\|b-p\|\leq2\delta$

Published on 26 Mar 2026 - 6:31

score 60 · Answer 3 · 2026-03-25 21:49:01

60

Views

Show that $δ_1([u]_1) = [e]_0−[f]_0$, where $e, f∈M_2(C_0(ℝ^2)^∼)$.

Published on 25 Mar 2026 - 21:49

score 42 · Answer 4 · 2026-03-25 21:50:00

42

Views

Show that there is a natural number n and a projection ∈(̃ ) such that =[]0−[()]0 and ̃ ()∼ℎ((̃ )) .

Published on 25 Mar 2026 - 21:50

score 23 · Answer 5 · 2026-04-02 00:15:01

23

Views

Automatic Essential morphisms

Published on 02 Apr 2026 - 0:15

score 77 · Answer 6 · 2026-04-02 05:21:18

77

Views

Show that $Γ$ is the one-element group.

Published on 02 Apr 2026 - 5:21

score 47 · Answer 7 · 2023-05-25 21:56:41

47

Views

Is a projection infinite iff its range is infinite-dimensional?

Published on 25 May 2023 - 21:56

score 40 · Answer 8 · 2026-03-25 21:46:23

40

Views

Reference KK-theory is stable or alternative proof verification?

Published on 25 Mar 2026 - 21:46

score 34 · Answer 9 · 2026-03-28 07:08:07

34

Views

How do $C^*$-algebras results behave in the real case?

Published on 28 Mar 2026 - 7:08

score 45 · Answer 10 · 2026-04-02 07:05:42

45

Views

How can I describe the hermitian part of a tensor product of C*-algebras?

Published on 02 Apr 2026 - 7:05

score 74 · Answer 11 · 2026-03-28 07:51:49

74

Views

Unique extension of states (when there is a conditional expectation involved)

Published on 28 Mar 2026 - 7:51

score 53 · Answer 12 · 2026-03-26 21:27:38

53

Views

Show that $C^\colon G\to C^(G)$ is a functor from $Gr$ to Cstar

Published on 26 Mar 2026 - 21:27

score 114 · Answer 13 · 2026-03-26 11:00:07

114

Views

Show that $C^(\mathbb Z)$ is the universal $C^$-algebra generated by a unitary.

Published on 26 Mar 2026 - 11:00

score 81 · Answer 14 · 2023-05-31 13:56:16

81

Views

Unital $C^$-subalgebra of unital $C^$-algebra has the same unit?

Published on 31 May 2023 - 13:56

score 97 · Answer 15 · 2026-04-02 07:03:40

97

Views

Extension of states on $C^*$-algebras (unique extension compared to a sub algebra)

Published on 02 Apr 2026 - 7:03

List Question

An inequality involving states and positive linear functional on a $C^*$-algebra

If an element $b$ of a $C^*$-algebra $B$ is self-adjoint with $\delta=\|b-b^2\|<\frac14$ then there is a projection $p\in B$ with $\|b-p\|\leq2\delta$

Show that $δ_1([u]_1) = [e]_0−[f]_0$, where $e, f∈M_2(C_0(ℝ^2)^∼)$.

Show that there is a natural number n and a projection ∈(̃ ) such that =[]0−[()]0 and ̃ ()∼ℎ((̃ )) .

Automatic Essential morphisms

Show that $Γ$ is the one-element group.

Is a projection infinite iff its range is infinite-dimensional?

Reference KK-theory is stable or alternative proof verification?

How do $C^*$-algebras results behave in the real case?

How can I describe the hermitian part of a tensor product of C*-algebras?

Unique extension of states (when there is a conditional expectation involved)

Show that $C^\colon G\to C^(G)$ is a functor from $Gr$ to Cstar

Show that $C^(\mathbb Z)$ is the universal $C^$-algebra generated by a unitary.

Unital $C^$-subalgebra of unital $C^$-algebra has the same unit?

Extension of states on $C^*$-algebras (unique extension compared to a sub algebra)

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