List questions from operator-algebras

Published on 08 Mar 2018 - 7:04

265

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L2 norm convergence on (bounded ball of) *-subalgebra of von Neumann algebra

Published on 20 Mar 2026 - 4:54

184

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Clarification Concerning The Irrational Rotation Algebra in Davidson's Book

Published on 10 Mar 2018 - 20:57

169

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Kraus representation for maps between trace-class operators

Published on 11 Mar 2018 - 17:36

307

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Relation between the support of spectral measure and proportionality of the identity operator

Published on 12 Mar 2018 - 8:44

94

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If $A,B$ are self-adjoint and $A+B\ge 0$, then $A_+-B_-,\ B_+-A_-\ge 0$?

Published on 14 Mar 2018 - 6:06

156

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Are there examples of unital and nuclear $C^*$-algebras satisfying the UCT that are not groupoid algebras of an amenable etale groupoid?

Published on 22 Mar 2026 - 21:39

553

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Show that a closed self-adjoint subalgebra of a $C^$-algebra is also a $C^$-algebra.

Published on 15 Mar 2018 - 22:32

2.1k

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Showing that an injective $^$-homomorphism between two $C^$-algebras is isometric.

Published on 16 Mar 2018 - 1:03

112

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Symmetric C* property

Published on 21 Mar 2026 - 20:52

77

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Adjoint of the attached space in operator algebras

Published on 18 Mar 2018 - 22:43

189

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Is it true that $|x^2|=|x|^2$ for a normal $x$ in a $C^*$-algebra?

Published on 19 Mar 2018 - 13:24

426

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C$^*$-algebras: When is there equality in the triangle inequality?

Published on 20 Mar 2018 - 23:05

306

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Concerning Theorem 3.3.3 Murphy's C*-algebras and operator theory ( characterization of positive functionals)

Published on 21 Mar 2018 - 22:33

147

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Traces on $K(H)$

Published on 22 Mar 2026 - 13:24

List Question

Definition of inner automorphism on operator algebras

L2 norm convergence on (bounded ball of) *-subalgebra of von Neumann algebra

Clarification Concerning The Irrational Rotation Algebra in Davidson's Book

Kraus representation for maps between trace-class operators

Relation between the support of spectral measure and proportionality of the identity operator

If $A,B$ are self-adjoint and $A+B\ge 0$, then $A_+-B_-,\ B_+-A_-\ge 0$?

Are there examples of unital and nuclear $C^*$-algebras satisfying the UCT that are not groupoid algebras of an amenable etale groupoid?

Show that a closed self-adjoint subalgebra of a $C^$-algebra is also a $C^$-algebra.

Showing that an injective $^$-homomorphism between two $C^$-algebras is isometric.

Symmetric C* property

Adjoint of the attached space in operator algebras

Is it true that $|x^2|=|x|^2$ for a normal $x$ in a $C^*$-algebra?

C$^*$-algebras: When is there equality in the triangle inequality?

Concerning Theorem 3.3.3 Murphy's C*-algebras and operator theory ( characterization of positive functionals)

Traces on $K(H)$

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