Question

Inner products on separable, infinite-dimensional $C^\star$ algebras, and "adjoints" of maps

score 118 · Answer 1 · 2026-03-30 12:28:15

118

Views

Inner products on separable, infinite-dimensional $C^\star$ algebras, and "adjoints" of maps

Published on 30 Mar 2026 - 12:28

score 118 · Answer 2 · 2026-04-08 16:26:46

118

Views

prove a linear functional on a unital $C^*$-algebra is positive

Published on 08 Apr 2026 - 16:26

score 148 · Answer 3 · 2026-04-09 17:31:18

148

Views

Proof of the polar decomposition

Published on 09 Apr 2026 - 17:31

score 76 · Answer 4 · 2026-04-08 17:31:14

76

Views

Property of positive matrix

Published on 08 Apr 2026 - 17:31

score 28 · Answer 5 · 2020-10-19 15:39:53

28

Views

Show that $x^*x$ is positive when $x \in M_n(B(H_1,H_2))$

Published on 19 Oct 2020 - 15:39

score 79 · Answer 6 · 2026-03-28 13:21:28

79

Views

Question on tracial topological rank of C*-algebra and finite CW complex.

Published on 28 Mar 2026 - 13:21

score 64 · Answer 7 · 2026-03-30 12:58:58

64

Views

Distance from a state of a $C^*$-algebra to the state space

Published on 30 Mar 2026 - 12:58

score 129 · Answer 8 · 2026-04-08 16:23:17

129

Views

Jordan decomposition for linear functionals on $C^*$-algebras

Published on 08 Apr 2026 - 16:23

score 74 · Answer 9 · 2026-03-30 12:58:50

74

Views

Definition of a predual map between predual of von Neumann algebras

Published on 30 Mar 2026 - 12:58

score 56 · Answer 10 · 2026-03-30 12:58:51

56

Views

The equivalent definition of singular poaitive linear functional on a von Neuamann algebra

Published on 30 Mar 2026 - 12:58

score 121 · Answer 11 · 2026-04-08 18:50:40

121

Views

compute the commutant of a compact self-adjoint operator

Published on 08 Apr 2026 - 18:50

score 59 · Answer 12 · 2026-04-08 18:08:03

59

Views

Modification of a pure state by a unitary on a C*-algebra

Published on 08 Apr 2026 - 18:08

score 114 · Answer 13 · 2026-03-26 18:59:48

114

Views

Bimodule Maps and Opposite Algebras

Published on 26 Mar 2026 - 18:59

score 63 · Answer 14 · 2020-10-31 03:43:01

63

Views

Nontrivial examples of ring homomorphisms which restrict to the identity on an ideal and induce the identity on the quotient

Published on 31 Oct 2020 - 3:43

score 235 · Answer 15 · 2026-03-30 14:58:55

235

Views

Every abelian projection in a von Neumann algebra is finite

Published on 30 Mar 2026 - 14:58

List Question

Inner products on separable, infinite-dimensional $C^\star$ algebras, and "adjoints" of maps

prove a linear functional on a unital $C^*$-algebra is positive

Proof of the polar decomposition

Property of positive matrix

Show that $x^*x$ is positive when $x \in M_n(B(H_1,H_2))$

Question on tracial topological rank of C*-algebra and finite CW complex.

Distance from a state of a $C^*$-algebra to the state space

Jordan decomposition for linear functionals on $C^*$-algebras

Definition of a predual map between predual of von Neumann algebras

The equivalent definition of singular poaitive linear functional on a von Neuamann algebra

compute the commutant of a compact self-adjoint operator

Modification of a pure state by a unitary on a C*-algebra

Bimodule Maps and Opposite Algebras

Nontrivial examples of ring homomorphisms which restrict to the identity on an ideal and induce the identity on the quotient

Every abelian projection in a von Neumann algebra is finite

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