Question

How do I show these two projections belong to different $K_0$ equivalence classes?

score 91 · Answer 1 · 2026-04-12 21:50:10

91

Views

How do I show these two projections belong to different $K_0$ equivalence classes?

Published on 12 Apr 2026 - 21:50

score 71 · Answer 2 · 2026-04-11 10:32:17

71

Views

Do commutative $C^*$-algebras have torsion-free $K$-groups?

Published on 11 Apr 2026 - 10:32

score 65 · Answer 3 · 2022-02-04 01:06:47

65

Views

For $\pi$ complete contraction, show that $ \|(\pi(x_1),...,\pi(x_n)) \| \leq \|(x_1,…x_n) \|$

Published on 04 Feb 2022 - 1:06

score 90 · Answer 4 · 2026-03-31 21:10:51

90

Views

Equivalence of projections in a Von Neumann algebra factor

Published on 31 Mar 2026 - 21:10

score 67 · Answer 5 · 2026-04-11 18:35:29

67

Views

Let $\mathcal{A}$ be a $C^$-algebra, $I$ a left maximal ideal, then there is a pure state $\rho_I$ s.t. $I = \{x \in \mathcal{A}: \rho_I(x^x)=0\}$

Published on 11 Apr 2026 - 18:35

score 40 · Answer 6 · 2026-04-12 17:07:13

40

Views

Does a Bratelli diagram have to label the dimension of its nodes?

Published on 12 Apr 2026 - 17:07

score 184 · Answer 7 · 2026-04-13 02:26:32

184

Views

Prove these two projections are equivalent

Published on 13 Apr 2026 - 2:26

score 111 · Answer 8 · 2026-04-13 00:05:12

111

Views

Norm matrix over C*algebras

Published on 13 Apr 2026 - 0:05

score 72 · Answer 9 · 2026-04-12 17:12:22

72

Views

An identity for holomorphic functional calculus

Published on 12 Apr 2026 - 17:12

score 36 · Answer 10 · 2026-03-25 22:04:52

36

Views

Continuity of Norm of Regular Representations on Étale Groupoids

Published on 25 Mar 2026 - 22:04

score 47 · Answer 11 · 2022-02-16 04:16:13

47

Views

Relation between ideals of a subalgebra and algebra

Published on 16 Feb 2022 - 4:16

score 69 · Answer 12 · 2026-03-26 17:53:54

69

Views

$X$ is a connected compact metric space. Is every $C^*$-embedding $M_n(\mathbb C)\to M_n(C(X))$ unitarily equivalent to the trivial one?

Published on 26 Mar 2026 - 17:53

score 32 · Answer 13 · 2022-02-16 20:38:46

32

Views

Showing the equivalence regarding non-degeneracy of a $C^{\ast}$-representation.

Published on 16 Feb 2022 - 20:38

score 110 · Answer 14 · 2026-04-12 09:05:21

110

Views

Is every projection the support of a normal state?

Published on 12 Apr 2026 - 9:05

score 25 · Answer 15 · 2026-04-12 19:27:30

25

Views

Is it true that every closed ideal $J$ of $ A \otimes_hB$ is of the form $\epsilon^{-1}(I)$ for some closed ideal $I$ of $A \otimes_\text{min} B$.

Published on 12 Apr 2026 - 19:27

List Question

How do I show these two projections belong to different $K_0$ equivalence classes?

Do commutative $C^*$-algebras have torsion-free $K$-groups?

For $\pi$ complete contraction, show that $ \|(\pi(x_1),...,\pi(x_n)) \| \leq \|(x_1,…x_n) \|$

Equivalence of projections in a Von Neumann algebra factor

Let $\mathcal{A}$ be a $C^$-algebra, $I$ a left maximal ideal, then there is a pure state $\rho_I$ s.t. $I = \{x \in \mathcal{A}: \rho_I(x^x)=0\}$

Does a Bratelli diagram have to label the dimension of its nodes?

Prove these two projections are equivalent

Norm matrix over C*algebras

An identity for holomorphic functional calculus

Continuity of Norm of Regular Representations on Étale Groupoids

Relation between ideals of a subalgebra and algebra

$X$ is a connected compact metric space. Is every $C^*$-embedding $M_n(\mathbb C)\to M_n(C(X))$ unitarily equivalent to the trivial one?

Showing the equivalence regarding non-degeneracy of a $C^{\ast}$-representation.

Is every projection the support of a normal state?

Is it true that every closed ideal $J$ of $ A \otimes_hB$ is of the form $\epsilon^{-1}(I)$ for some closed ideal $I$ of $A \otimes_\text{min} B$.

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