On the K-theory of the $C^{*}$-algebra generated by the left regular representation of an Ore semigroup

Cuntz, Joachim, Echterhoff, Siegfried, and Li, Xin. "On the K-theory of the $C^*$-algebra generated by the left regular representation of an Ore semigroup." Journal of the European Mathematical Society 017.3 (2015): 645-687. <http://eudml.org/doc/277507>.

@article{Cuntz2015,
abstract = {We compute the $K$-theory of $C^*$-algebras generated by the left regular representation of left Ore semigroups satisfying certain regularity conditions. Our result describes the $K$-theory of these semigroup $C^*$-algebras in terms of the $K$-theory for the reduced group $C^*$-algebras of certain groups which are typically easier to handle. Then we apply our result to specific semigroups from algebraic number theory.},
author = {Cuntz, Joachim, Echterhoff, Siegfried, Li, Xin},
journal = {Journal of the European Mathematical Society},
keywords = {$K$-theory; semigroup $C^*$-algebra; $ax + b$-semigroup; purely infinite; left Ore semigroup; -theory; reduced semigroup -algebra; left Ore semigroup},
language = {eng},
number = {3},
pages = {645-687},
publisher = {European Mathematical Society Publishing House},
title = {On the K-theory of the $C^*$-algebra generated by the left regular representation of an Ore semigroup},
url = {http://eudml.org/doc/277507},
volume = {017},
year = {2015},
}

TY - JOUR
AU - Cuntz, Joachim
AU - Echterhoff, Siegfried
AU - Li, Xin
TI - On the K-theory of the $C^*$-algebra generated by the left regular representation of an Ore semigroup
JO - Journal of the European Mathematical Society
PY - 2015
PB - European Mathematical Society Publishing House
VL - 017
IS - 3
SP - 645
EP - 687
AB - We compute the $K$-theory of $C^*$-algebras generated by the left regular representation of left Ore semigroups satisfying certain regularity conditions. Our result describes the $K$-theory of these semigroup $C^*$-algebras in terms of the $K$-theory for the reduced group $C^*$-algebras of certain groups which are typically easier to handle. Then we apply our result to specific semigroups from algebraic number theory.
LA - eng
KW - $K$-theory; semigroup $C^*$-algebra; $ax + b$-semigroup; purely infinite; left Ore semigroup; -theory; reduced semigroup -algebra; left Ore semigroup
UR - http://eudml.org/doc/277507
ER -