List questions from operator-algebras

273

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Can the condition that two von Neumann algebras are isomorphic to each other be characterized algebraically?

Published on 27 Mar 2026 - 18:28

54

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All operators on subspace are scalar

Published on 10 Jul 2020 - 15:55

96

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Product map is bounded

Published on 27 Mar 2026 - 18:26

82

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'Shrinking' the Hilbert Space a $\mathrm{C}^*$-algebra is represented on

Published on 11 Jul 2020 - 7:46

81

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Ideas for calculating $K_0(l_{\infty})$ and $K_1(l_{\infty})$.

Published on 25 Mar 2026 - 11:01

92

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$K_0(C(\mathbb{T}^{n})) \cong \mathbb{Z}^{2^{n-1}}$

Published on 25 Mar 2026 - 9:25

79

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Partition of the identity in a simple $C^*$-Algebra

Published on 14 Jul 2020 - 19:55

85

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Unitary operators and representations of Von-Neumann algebras

Published on 27 Mar 2026 - 18:28

65

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Surjectivity of spectral measure associated to an isolated point

Published on 19 Jul 2020 - 13:52

98

Views

An Inequality in von Neumann algebras

Published on 27 Mar 2026 - 21:56

120

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A problem on spectrum of a self-adjoint operator

Published on 23 Feb 2026 - 12:02

71

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The equivalence relation defined by normal form on Von Neumann algebra, its support and the it's representation .

Published on 27 Feb 2026 - 16:19

79

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Show that if the matrix of $T$ with respect to all bases of $V$ is same, then $T = \alpha I$ where $T$ is a linear operator on $V$

Published on 22 Jul 2020 - 13:28

95

Views

Reference books on the Baum Connes conjecture

Published on 25 Mar 2026 - 11:00

100

Views

Well-defined way to quotient by a relation involving an infinite sum

Published on 25 Mar 2026 - 14:33

List Question

Can the condition that two von Neumann algebras are isomorphic to each other be characterized algebraically?

All operators on subspace are scalar

Product map is bounded

'Shrinking' the Hilbert Space a $\mathrm{C}^*$-algebra is represented on

Ideas for calculating $K_0(l_{\infty})$ and $K_1(l_{\infty})$.

$K_0(C(\mathbb{T}^{n})) \cong \mathbb{Z}^{2^{n-1}}$

Partition of the identity in a simple $C^*$-Algebra

Unitary operators and representations of Von-Neumann algebras

Surjectivity of spectral measure associated to an isolated point

An Inequality in von Neumann algebras

A problem on spectrum of a self-adjoint operator

The equivalence relation defined by normal form on Von Neumann algebra, its support and the it's representation .

Show that if the matrix of $T$ with respect to all bases of $V$ is same, then $T = \alpha I$ where $T$ is a linear operator on $V$

Reference books on the Baum Connes conjecture

Well-defined way to quotient by a relation involving an infinite sum

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