Question

Why do elements of the Gel'fand spectrum map self-adjoint elements to points in the usual spectrum of the element?

score 59 · Answer 1 · 2026-02-23 03:00:01

59

Views

Why do elements of the Gel'fand spectrum map self-adjoint elements to points in the usual spectrum of the element?

Published on 23 Feb 2026 - 3:00

score 53 · Answer 2 · 2024-02-06 07:36:41

53

Views

help showing a property for a weak operator closed $^*$-subalgebra of the bounded operators of a Hilbert space.

Published on 06 Feb 2024 - 7:36

score 52 · Answer 3 · 2024-02-08 16:46:59

52

Views

Is $L^\infty(G) \otimes L^\infty(G)$ dense in $L^\infty(G \times G)$?

Published on 08 Feb 2024 - 16:46

score 40 · Answer 4 · 2024-02-12 18:30:34

40

Views

Why is the commutant of a unital $*$-representation a von Neumann algebra?

Published on 12 Feb 2024 - 18:30

score 36 · Answer 5 · 2024-02-12 20:21:32

36

Views

If two representations have the scalars a its commutants, why does it imply that they are either unitarily equivalent or disjoint?

Published on 12 Feb 2024 - 20:21

score 51 · Answer 6 · 2024-02-13 00:25:17

51

Views

Why does a projector being equal to its own central carrier imply that it is in the center of the commutant of its algebra?

Published on 13 Feb 2024 - 0:25

score 107 · Answer 7 · 2024-02-13 04:41:28

107

Views

Is centre of a Von Neumann algebra trivial?

Published on 13 Feb 2024 - 4:41

score 51 · Answer 8 · 2026-03-25 19:04:57

51

Views

Free Product of interpolated, free group factors

Published on 25 Mar 2026 - 19:04

score 67 · Answer 9 · 2024-02-19 11:22:27

67

Views

relative commutant of type III1 factor

Published on 19 Feb 2024 - 11:22

score 36 · Answer 10 · 2024-02-21 02:28:10

36

Views

Showing that a von neumann algebra in the bounded operators of $l^2(S_\infty)$ is a factor

Published on 21 Feb 2024 - 2:28

score 67 · Answer 11 · 2024-02-21 06:05:47

67

Views

types of von Neumann subalgebras

Published on 21 Feb 2024 - 6:05

score 76 · Answer 12 · 2024-02-23 22:54:23

76

Views

$\sigma$-weakly closed subalgebra of direct product of matrix algebras is again a direct product of matrix algebras

Published on 23 Feb 2024 - 22:54

score 46 · Answer 13 · 2026-03-21 02:42:57

46

Views

Properties of converging succession of functionals

Published on 21 Mar 2026 - 2:42

score 52 · Answer 14 · 2024-02-28 03:13:51

52

Views

Showing the double commutant of the image of GNS representation is a factor provided uniqueness of a tracial state.

Published on 28 Feb 2024 - 3:13

score 70 · Answer 15 · 2024-03-04 12:50:37

70

Views

relative commutant of von Neumann algebra

Published on 04 Mar 2024 - 12:50

List Question

Why do elements of the Gel'fand spectrum map self-adjoint elements to points in the usual spectrum of the element?

help showing a property for a weak operator closed $^*$-subalgebra of the bounded operators of a Hilbert space.

Is $L^\infty(G) \otimes L^\infty(G)$ dense in $L^\infty(G \times G)$?

Why is the commutant of a unital $*$-representation a von Neumann algebra?

If two representations have the scalars a its commutants, why does it imply that they are either unitarily equivalent or disjoint?

Why does a projector being equal to its own central carrier imply that it is in the center of the commutant of its algebra?

Is centre of a Von Neumann algebra trivial?

Free Product of interpolated, free group factors

relative commutant of type III1 factor

Showing that a von neumann algebra in the bounded operators of $l^2(S_\infty)$ is a factor

types of von Neumann subalgebras

$\sigma$-weakly closed subalgebra of direct product of matrix algebras is again a direct product of matrix algebras

Properties of converging succession of functionals

Showing the double commutant of the image of GNS representation is a factor provided uniqueness of a tracial state.

relative commutant of von Neumann algebra

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