Question

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

score 85 · Answer 1 · 2022-09-22 10:56:39

85

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

Published on 22 Sep 2022 - 10:56

score 51 · Answer 2 · 2022-09-29 22:08:00

51

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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 29 Sep 2022 - 22:08

score 50 · Answer 3 · 2022-10-01 00:05:13

50

Views

How to prove the density relation $\overline{\text{Span}\{\varphi_{x,y}:x ,y\in H\}}^{\Vert\cdot\Vert} = N_*$ for any von Newmann algebra $N$?

Published on 01 Oct 2022 - 0:05

score 74 · Answer 4 · 2022-10-01 15:05:34

74

Views

modular automorphism group for a faithful normal state restricted to a von Neumann subalgebra

Published on 01 Oct 2022 - 15:05

score 84 · Answer 5 · 2022-10-05 12:45:56

84

Views

Projections and positive elements in unital von Neumann algebras

Published on 05 Oct 2022 - 12:45

score 45 · Answer 6 · 2022-10-07 17:30:14

45

Views

inclusion of von Neumann algebras with expectation

Published on 07 Oct 2022 - 17:30

score 86 · Answer 7 · 2022-10-08 15:01:49

86

Views

intersection of the commutant of a von Neumann algebra and the ultraproduct of the von Neumann algebra

Published on 08 Oct 2022 - 15:01

score 34 · Answer 8 · 2026-03-21 04:15:23

34

Views

Example of a primary representation that is not a multiple of an irreducible representation

Published on 21 Mar 2026 - 4:15

score 57 · Answer 9 · 2022-10-11 11:48:49

57

Views

Ultraweak topology closed hereditary subalgebra induce an ultraweak topology closed left ideal?

Published on 11 Oct 2022 - 11:48

score 99 · Answer 10 · 2022-10-11 16:02:47

99

Views

Can a unital -homomorphism be extended to the bidual of a $\mathrm{C}^$-algebra?

Published on 11 Oct 2022 - 16:02

score 72 · Answer 11 · 2022-10-14 12:38:42

72

Views

construct a faithful normal conditional expectation on the ultraproduct of a von Neumann algebra

Published on 14 Oct 2022 - 12:38

score 35 · Answer 12 · 2022-10-14 17:47:36

35

Views

Unable to show the boundedness of the map $\varphi$ from $\hat M$ to the Hilbert space $H_\tau$

Published on 14 Oct 2022 - 17:47

score 57 · Answer 13 · 2022-10-21 19:27:16

57

Views

Closed densely defined operators affiliated with a von Neumann algebra $M$

Published on 21 Oct 2022 - 19:27

score 68 · Answer 14 · 2022-10-27 16:18:45

68

Views

Construct a partition of unity in the centralizer of a von Neumann algebra

Published on 27 Oct 2022 - 16:18

score 69 · Answer 15 · 2022-10-29 19:20:31

69

Views

Two sided ideal of a von Neumann algebra is linear span of its positive elements

Published on 29 Oct 2022 - 19:20

List Question

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

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\}}$?

How to prove the density relation $\overline{\text{Span}\{\varphi_{x,y}:x ,y\in H\}}^{\Vert\cdot\Vert} = N_*$ for any von Newmann algebra $N$?

modular automorphism group for a faithful normal state restricted to a von Neumann subalgebra

Projections and positive elements in unital von Neumann algebras

inclusion of von Neumann algebras with expectation

intersection of the commutant of a von Neumann algebra and the ultraproduct of the von Neumann algebra

Example of a primary representation that is not a multiple of an irreducible representation

Ultraweak topology closed hereditary subalgebra induce an ultraweak topology closed left ideal?

Can a unital -homomorphism be extended to the bidual of a $\mathrm{C}^$-algebra?

construct a faithful normal conditional expectation on the ultraproduct of a von Neumann algebra

Unable to show the boundedness of the map $\varphi$ from $\hat M$ to the Hilbert space $H_\tau$

Closed densely defined operators affiliated with a von Neumann algebra $M$

Construct a partition of unity in the centralizer of a von Neumann algebra

Two sided ideal of a von Neumann algebra is linear span of its positive elements

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