List questions from c-star-algebras

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Convergence of coeffiecients of element in infinite symmetric group algebra

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Convergence in SOT and norm boundedness in $C_r^*(S_\infty)$ equivalent to norm convergence

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Trace and norm bounded sequence of positive elements has convergent subsequence in hyperfinite $II_1$ factor

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Normal operators are unitarily equivalent iff they have the same spectrum

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Why is $tr((a_{ij})=\sum\limits_{i=1}^n a_{ii}$ k-positive for all $k$?

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stability of $K_0$ ($C^*$-algebras), question about the tensor product $K(H)\otimes A$.

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Two Fredholm operators A and B have the same index iff there is an invertible operator C s.t. A-BC is compact

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*-algebra Morphisms

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What does a homomorphism $\phi: M_k \to M_n$ look like?

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Let $N$ be a normal operator. When $W^*(N)$ is a MASA?

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Kazhdan's property (T) vs residual finiteness

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List Question

subset of pure states with norm condition already dense

Convergence of coeffiecients of element in infinite symmetric group algebra

Positive maps and $*$-homomorphisms

Convergence in SOT and norm boundedness in $C_r^*(S_\infty)$ equivalent to norm convergence

Trace and norm bounded sequence of positive elements has convergent subsequence in hyperfinite $II_1$ factor

Normal operators are unitarily equivalent iff they have the same spectrum

Why is $tr((a_{ij})=\sum\limits_{i=1}^n a_{ii}$ k-positive for all $k$?

stability of $K_0$ ($C^*$-algebras), question about the tensor product $K(H)\otimes A$.

Two Fredholm operators A and B have the same index iff there is an invertible operator C s.t. A-BC is compact

*-algebra Morphisms

GNS-Construction: Involution

What does a homomorphism $\phi: M_k \to M_n$ look like?

Let $N$ be a normal operator. When $W^*(N)$ is a MASA?

Kazhdan's property (T) vs residual finiteness

Universal UHF algebra

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