U. Bunke

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math.KT2025

Additive C*-categories and K-theory

Ulrich Bunke, Alexander Engel

We review the notions of a multiplier category and the $W^{*}$ -envelope of a $C^{*}$ -category. We then consider the notion of an orthogonal sum of a (possibly infinite) family of o…

math.KT2025

$E$ -theory is compactly assembled

Ulrich Bunke, Benjamin Duenzinger

We show that the equivariant $E$ -theory category $E_{sep}^{G}$ for separable $C^{*}$ -algebras is a compactly assembled stable $\infty$ -category. We derive this re…

Additive C*-categories and K-theory

E-theory is compactly assembled

$E$ -theory is compactly assembled