Bernhard Burgstaller

activity

20142017

most citedA Green--Julg isomorphism for inverse semigroups

2 citations · 4 across the 3 of their papers we have counts for

collaborators

3 papers

math.OA2017

Semigroup homomorphisms on matrix algebras

Bernhard Burgstaller

We explore the connection between ring homomorphisms and semigroup homomorphisms on matrix algebras over rings or $C^{*}$ -algebras.

math.KT2016★ 2 cited

A note on a certain Baum--Connes map for inverse semigroups

Bernhard Burgstaller

Let $G$ denote a countable inverse semigroup. We construct a kind of a Baum--Connes map $K (A ~ ⋊ G) \to K (A ⋊ G)$ by a categorial approach via localization…

math.OA2014★ 2 cited

A Green--Julg isomorphism for inverse semigroups

Bernhard Burgstaller

For every finite unital inverse semigroup $S$ and $S$ - $C^{*}$ -algebra $A$ we establish an isomorphism between $K K^{S} (C, A)$ and $K (A ⋊ S)$ . This extends the classical Gr…