New York Journal of Mathematics
Volume 15 (2009) 505-531


Bernhard Burgstaller

Equivariant KK-theory for semimultiplicative sets

Published: November 30, 2009
Keywords: Equivariant KK-theory, semimultiplicative set, semigroup
Subject: 19K35, 20N02

A semimultiplicative set G is a set which has a partially defined associative multiplication. We associate a reduced C*-algebra C*r(G) to G and define reduced crossed products A \rtimes G. Moreover, we introduce a G-equivariant KK-theory and show the existence of a Kasparov product.


The author was supported by the Marie Curie Network MRTN-CT-2006-031962.

Author information

Doppler Institute for mathematical physics, Trojanova 13, 12000 Prague, Czech Republic