5 problems

Hertweck's blockwise isomorphism conjecture. For every $e\in\operatorname{PCI}({\mathbb Q}G)$,

Let $M$ and $N$ be von Neumann algebras of type II. Let $LS(M)$ and $LS(N)$ denote their algebras of locally measurable operators. A ring isomorphism is a bijective ring homomorphi…

Let $K$ be a field with a fixed involution, and let $E$ and $F$ be directed graphs. Write $L_K(E)$ and $L_K(F)$ for their Leavitt path algebras, equipped with the induced involutio…

Let $E$ and $F$ be directed graphs, and let $L_{\mathbb{C}}(E)$ and $L_{\mathbb{C}}(F)$ be their Leavitt path algebras over the complex numbers, while $C^*(E)$ and $C^*(F)$ are the…

Let $E$ and $F$ be directed graphs, and let $L_{\a0\mathbb{C}}(E)$ and $L_{\a0\mathbb{C}}(F)$ denote their Leavitt path algebras over the complex numbers, with the complex-conjugat…