Ulrich Bunke

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20242026

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math.KT2026

$E$ -theory of $X$ - $C^{*}$ -algebras and functor formalisms

Ulrich Bunke

We show that $E$ -theory for locally compact Hausdorff spaces constitutes a six-functor formalism which is equivalent to the six-functor formalism of $E$ -valued sheaves. We…

math.KT2024

Coronas and Callias type operators in coarse geometry

Ulrich Bunke, Matthias Ludewig

We interpret the coarse symbol and index class of a Callias type Dirac operator $D + Ψ$ on a manifold $M$ as a pairing between the coarse symbol and index classes associated to $D$ a…

E-theory of X-C∗-algebras and functor formalisms

Coronas and Callias type operators in coarse geometry

$E$ -theory of $X$ - $C^{*}$ -algebras and functor formalisms