List questions from c-star-algebras

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Finite dimensionality of some subspace of convolution Banach algebra $L^1(G)$

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In what topology is the unitary group of a unital C*-algebra locally compact?

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299

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Are there infinite-dimensional, artinian C*-algebras?

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165

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If a C-algebra $A=\overline{\bigcup S}$, where $S$ is a class of prime C-subalgebras, then $A$ is prime.

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326

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Sot convergence of a sequence of operators implies uniform convergence

Published on 03 Jul 2015 - 7:36

532

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Projections: Ordering

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47

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Involution on the set of all multipliers of $A$ ($A$ is a $C^*$-algebra)

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354

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Stone–Čech compactificationof a compact space and the multiplier algebra of $C_0(X)$

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Ordering: Identity

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253

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Some questions about Cuntz’s proof of the $ K_{1} $-injectivity of purely infinite simple unital $ C^{*} $-algebras

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Weakly compact left multipliers

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Closed convex hull of unitaries

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Understanding the bidual of a $C^$-algebra as a $C^$-algebra

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769

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Why is a locally compact Hausdorff space $X$ compact iff $C_0(X)$ is unital?

Published on 19 Jul 2015 - 21:52

List Question

Conway’s Functional Analysis, VIII §3 Exercise 11

Finite dimensionality of some subspace of convolution Banach algebra $L^1(G)$

In what topology is the unitary group of a unital C*-algebra locally compact?

Are there infinite-dimensional, artinian C*-algebras?

If a C-algebra $A=\overline{\bigcup S}$, where $S$ is a class of prime C-subalgebras, then $A$ is prime.

Sot convergence of a sequence of operators implies uniform convergence

Projections: Ordering

Involution on the set of all multipliers of $A$ ($A$ is a $C^*$-algebra)

Stone–Čech compactificationof a compact space and the multiplier algebra of $C_0(X)$

Ordering: Identity

Some questions about Cuntz’s proof of the $ K_{1} $-injectivity of purely infinite simple unital $ C^{*} $-algebras

Weakly compact left multipliers

Closed convex hull of unitaries

Understanding the bidual of a $C^$-algebra as a $C^$-algebra

Why is a locally compact Hausdorff space $X$ compact iff $C_0(X)$ is unital?

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