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

collaborators

Showing 2014Show all

3 papers · 1 filter

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…

math.OA2014

An elementary Green imprimitivity theorem for inverse semigroups

Bernhard Burgstaller

A Morita equivalence similar to that found by Green for crossed products by groups will be established for crossed products by inverse semigroups. More precisely, let $G$ be an inv…

math.OA2014★ 5 cited

The universal property of inverse semigroup equivariant $K K$ -theory

Bernhard Burgstaller

Higson proved that every homotopy invariant, stable and split exact functor from the category of $C^{*}$ -algebras to an additive category factors through Kasparov's $K K$ -theory. By a…

A Green--Julg isomorphism for inverse semigroups

An elementary Green imprimitivity theorem for inverse semigroups

The universal property of inverse semigroup equivariant KK-theory

The universal property of inverse semigroup equivariant $K K$ -theory