Question

Where does the unitarity structure of $U_q(\mathfrak{sl}_2)$ come from?

score 40 · Answer 1 · 2026-04-12 00:51:29

40

Views

Where does the unitarity structure of $U_q(\mathfrak{sl}_2)$ come from?

Published on 12 Apr 2026 - 0:51

score 88 · Answer 2 · 2026-04-14 06:48:53

88

Views

Commutant of tensor product of commutants contains the tensor product of von Neumann algebra

Published on 14 Apr 2026 - 6:48

score 109 · Answer 3 · 2026-04-11 02:25:36

109

Views

What is the definition of $f(a)$ where $a$ is in a unital $C^*$-algebra?

Published on 11 Apr 2026 - 2:25

score 66 · Answer 4 · 2026-04-13 16:11:28

66

Views

Difficulty in showing an inclusion of operator spaces

Published on 13 Apr 2026 - 16:11

score 60 · Answer 5 · 2026-04-16 08:08:16

60

Views

Multiplicity theory of representations of non-separable commutative $C^*$-algebras

Published on 16 Apr 2026 - 8:08

score 66 · Answer 6 · 2026-04-15 06:44:41

66

Views

Trying to compute $\operatorname{kernel}$ of the map $\pi\otimes \rho: A \otimes^{\text{min}} B \to A/I \otimes^{\text{min}} B/J$

Published on 15 Apr 2026 - 6:44

score 151 · Answer 7 · 2026-04-15 22:39:05

151

Views

Can the fact "If $\phi$ is a Hermitian linear functional on a $C^$-algebra $A$ then $||\phi|| = \sup\{\phi(x):x = x^, ||x|| = 1\}$" be generalized?

Published on 15 Apr 2026 - 22:39

score 130 · Answer 8 · 2026-04-13 17:59:32

130

Views

Proof of Diagonal MASA in Cuntz Algebra

Published on 13 Apr 2026 - 17:59

score 88 · Answer 9 · 2026-04-15 18:57:58

88

Views

The element $z \in M$ commutes with every element of $M$

Published on 15 Apr 2026 - 18:57

score 49 · Answer 10 · 2026-04-09 11:55:56

49

Views

Direct sum of Hilbert modules

Published on 09 Apr 2026 - 11:55

score 123 · Answer 11 · 2026-04-13 17:57:10

123

Views

Numerical range and essential spectrum

Published on 13 Apr 2026 - 17:57

score 54 · Answer 12 · 2026-04-14 07:11:14

54

Views

Let $X$ be compact metric space and $\mu_n$ be sequence of complex measures on it. Prove the following two representations of $C(X)$ is equivalent.

Published on 14 Apr 2026 - 7:11

score 54 · Answer 13 · 2026-04-14 21:18:46

54

Views

How to see $E^* \cong B(X, M)$ for $ E=\overline{\operatorname{Span}\left\{x \otimes \xi \in B(X, M)^: x \in X, \xi \in M_\right\}}$?

Published on 14 Apr 2026 - 21:18

score 97 · Answer 14 · 2026-04-15 08:25:44

97

Views

Projection and positive elements in unital C*-algebras

Published on 15 Apr 2026 - 8:25

score 55 · Answer 15 · 2026-04-15 18:19:06

55

Views

When are positive elements mapped to $1$ by same pure states

Published on 15 Apr 2026 - 18:19

List Question

Where does the unitarity structure of $U_q(\mathfrak{sl}_2)$ come from?

Commutant of tensor product of commutants contains the tensor product of von Neumann algebra

What is the definition of $f(a)$ where $a$ is in a unital $C^*$-algebra?

Difficulty in showing an inclusion of operator spaces

Multiplicity theory of representations of non-separable commutative $C^*$-algebras

Trying to compute $\operatorname{kernel}$ of the map $\pi\otimes \rho: A \otimes^{\text{min}} B \to A/I \otimes^{\text{min}} B/J$

Can the fact "If $\phi$ is a Hermitian linear functional on a $C^$-algebra $A$ then $||\phi|| = \sup\{\phi(x):x = x^, ||x|| = 1\}$" be generalized?

Proof of Diagonal MASA in Cuntz Algebra

The element $z \in M$ commutes with every element of $M$

Direct sum of Hilbert modules

Numerical range and essential spectrum

Let $X$ be compact metric space and $\mu_n$ be sequence of complex measures on it. Prove the following two representations of $C(X)$ is equivalent.

How to see $E^* \cong B(X, M)$ for $ E=\overline{\operatorname{Span}\left\{x \otimes \xi \in B(X, M)^: x \in X, \xi \in M_\right\}}$?

Projection and positive elements in unital C*-algebras

When are positive elements mapped to $1$ by same pure states

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