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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Showing 2015Show all

2 papers · 1 filter

math.KT2015

Inverse semigroup equivariant $K K$ -theory and $C^{*}$ -extensions

Bernhard Burgstaller

In this note we extend the classical result by G. G. Kasparov that the Kasparov groups $K K_{1} (A, B)$ can be identified with the extension groups $\mbox{Ext}(A,B)$ to the inverse semi…

math.KT2015★ 4 cited

Attempts to define a Baum--Connes map via localization of categories for inverse semigroups

Bernhard Burgstaller

Meyer and Nest showed that the Baum--Connes map is equivalent to a map on $K$ -theory of two different crossed products. This approach is strongly categorial in method since its bas…

Inverse semigroup equivariant KK-theory and C∗-extensions

Attempts to define a Baum--Connes map via localization of categories for inverse semigroups

Inverse semigroup equivariant $K K$ -theory and $C^{*}$ -extensions