List questions from operator-algebras

Published on 25 Mar 2026 - 18:52

85

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Associated C*-Categories and the reduced crossed product

Published on 08 Oct 2016 - 18:07

86

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Proof that $\exp(\hat{L}) \hat{a} \exp(-\hat{L}) = \hat{a} + [\hat{L}, \hat{a}] + [\hat{L}, [\hat{L}, \hat{a}]]/2\dots$ .

Published on 09 Oct 2016 - 20:38

162

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Interpretation of the $K$-groups of a $C^*$-algebra.

Published on 25 Mar 2026 - 18:48

58

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Hilbert space and a subspace

Published on 13 Oct 2016 - 19:45

129

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extension of a representation on $C^*$-algebra tensor products

Published on 14 Oct 2016 - 23:00

49

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how to prove $\prod_{i\in{I_j}}\mathbb{M}_j(\mathbb{C})\cong\mathbb{M}_j(l^\infty(I_j))$

Published on 15 Oct 2016 - 8:09

1.1k

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Tensor product commutes with direct limits

Published on 17 Oct 2016 - 14:24

65

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positive Operator in $L_2(0,1)$ and its $n^{th}$ root

Published on 18 Oct 2016 - 7:50

415

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existence of faithful pure states

Published on 18 Oct 2016 - 19:11

116

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positive elements in $\mathbb{M}_n(A)$ are unltraweakly dense in the positive part of $\mathbb{M}_n(A^{**})$

Published on 27 Mar 2026 - 23:37

63

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Normal functionals on cyclic von Neumann algebras

Published on 27 Mar 2026 - 23:31

97

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Cyclic von Neumann algebras

Published on 27 Mar 2026 - 23:38

37

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Whether $A^{1/2} \ge B^{1/2}$ is true when $A$ and $B$ are unbounded operators on a Hilbert space

Published on 20 Oct 2016 - 5:11

981

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Center of unital simple C*-algebra is $\mathbb{C}$.

Published on 22 Oct 2016 - 14:35

List Question

The $C^*$-algebra generated by two projections

Associated C*-Categories and the reduced crossed product

Proof that $\exp(\hat{L}) \hat{a} \exp(-\hat{L}) = \hat{a} + [\hat{L}, \hat{a}] + [\hat{L}, [\hat{L}, \hat{a}]]/2\dots$ .

Interpretation of the $K$-groups of a $C^*$-algebra.

Hilbert space and a subspace

extension of a representation on $C^*$-algebra tensor products

how to prove $\prod_{i\in{I_j}}\mathbb{M}_j(\mathbb{C})\cong\mathbb{M}_j(l^\infty(I_j))$

Tensor product commutes with direct limits

positive Operator in $L_2(0,1)$ and its $n^{th}$ root

existence of faithful pure states

positive elements in $\mathbb{M}_n(A)$ are unltraweakly dense in the positive part of $\mathbb{M}_n(A^{**})$

Normal functionals on cyclic von Neumann algebras

Cyclic von Neumann algebras

Whether $A^{1/2} \ge B^{1/2}$ is true when $A$ and $B$ are unbounded operators on a Hilbert space

Center of unital simple C*-algebra is $\mathbb{C}$.

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