List questions from c-star-algebras

Published on 01 Apr 2026 - 2:53

219

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Definition of 'product states' for $C^*$-algebras

Published on 09 Apr 2026 - 0:51

148

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Let $A,B$ be self-adjoint operators and $A\leq B$. Is $e^A \leq e^B$ true?

Published on 31 Dec 2020 - 10:22

164

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$\sigma$-weak closure of $B(H) \otimes B(K)$.

Published on 03 Apr 2026 - 7:11

112

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Voiculescu theorem for non-separable $C^*$-algebras

Published on 09 Apr 2026 - 0:48

98

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Contractivity of a projection on $C(\mathbb{T}^2)$

Published on 26 Mar 2026 - 4:52

200

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Murray V.N equivalence of projections in finite C* algebras.

Published on 06 Jan 2021 - 22:31

66

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Need an example of $C^*$-algebra where $GL(A_{sa})$ is dense in $A_{sa}$ while $GL(A)$ isn't dense in $A$.

Published on 07 Jan 2021 - 21:32

55

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Perturbation and real rank zero $C^*$algebra

Published on 09 Apr 2026 - 2:36

87

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representations of a non-separable $C^*$-algebra

Published on 10 Apr 2026 - 11:10

17

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How do I fix this proof? A lemma from An Introduction to the Classification of Amenable $C^$-algebras*

Published on 10 Apr 2026 - 8:46

47

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Real rank of $C_0(R)$

Published on 09 Apr 2026 - 2:37

40

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$A_1\subseteq B(\mathscr H_1)$, $A_2\subseteq B(\mathscr H_2)$ are isomorphic $C^*$-algebras. $A_1$ is weakly closed. Is $A_2$ weakly closed?

Published on 11 Jan 2021 - 7:26

58

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Distance of a C*-subalgebra and the unit element is always greater than or equal to 1

Published on 09 Apr 2026 - 2:37

119

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Bounding $\|e^{2\pi iq}-1\|$ for $q$ an almost idempotent

Published on 29 Mar 2026 - 10:15

List Question

An algebra with a strictly positive state + condition ? to become a C$^*$-algebra.

Definition of 'product states' for $C^*$-algebras

Let $A,B$ be self-adjoint operators and $A\leq B$. Is $e^A \leq e^B$ true?

$\sigma$-weak closure of $B(H) \otimes B(K)$.

Voiculescu theorem for non-separable $C^*$-algebras

Contractivity of a projection on $C(\mathbb{T}^2)$

Murray V.N equivalence of projections in finite C* algebras.

Need an example of $C^*$-algebra where $GL(A_{sa})$ is dense in $A_{sa}$ while $GL(A)$ isn't dense in $A$.

Perturbation and real rank zero $C^*$algebra

representations of a non-separable $C^*$-algebra

How do I fix this proof? A lemma from An Introduction to the Classification of Amenable $C^$-algebras*

Real rank of $C_0(R)$

$A_1\subseteq B(\mathscr H_1)$, $A_2\subseteq B(\mathscr H_2)$ are isomorphic $C^*$-algebras. $A_1$ is weakly closed. Is $A_2$ weakly closed?

Distance of a C*-subalgebra and the unit element is always greater than or equal to 1

Bounding $\|e^{2\pi iq}-1\|$ for $q$ an almost idempotent

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