B. Burgstaller

activity

20112026

most citedThe universal property of inverse semigroup equivariant

K K

-theory

5 citations · 16 across the 16 of their papers we have counts for

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math.KT2025

Computing the $K$ -homology $K$ -theory product in splitexact algebraic $K K$ -theory

Bernhard Burgstaller

Explicit formulas are indicated that compute the product $z \cdot w$ of a level-one element $z \in K K^{G} (A, C)$ and any element $w \in K K^{G} (C, B)$ in splitexact algebraic…

math.KT2025

Corner embeddings into algebras of compact operators in $K$ -theory

Bernhard Burgstaller

We show that in $K$ -theory-like categories many corner embeddings into a discrete algebra of compact operators are invertible, and consequently functors on splitexact algebraic $KK…

Computing the K-homology K-theory product in splitexact algebraic KK-theory

Corner embeddings into algebras of compact operators in K-theory

Computing the $K$ -homology $K$ -theory product in splitexact algebraic $K K$ -theory

Corner embeddings into algebras of compact operators in $K$ -theory