Final published version
Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
}
TY - JOUR
T1 - K-theory for algebras of operators on Banach spaces
AU - Laustsen, Niels Jakob
PY - 1999/4/30
Y1 - 1999/4/30
N2 - It is proved that, for each pair (m, n) of non-negative integers, there is a Banach space x for which K0(ℬ(x)) ≅ ℤm and K1(ℬ(x)) ≅ ℤn. The K-groups of all closed ideals of operators contained in the ideal of strictly singular operators are computed, and some results about the existence of splittings of certain short exact sequences are derived.
AB - It is proved that, for each pair (m, n) of non-negative integers, there is a Banach space x for which K0(ℬ(x)) ≅ ℤm and K1(ℬ(x)) ≅ ℤn. The K-groups of all closed ideals of operators contained in the ideal of strictly singular operators are computed, and some results about the existence of splittings of certain short exact sequences are derived.
U2 - 10.1112/S0024610799007206
DO - 10.1112/S0024610799007206
M3 - Journal article
AN - SCOPUS:0000156851
VL - 59
SP - 715
EP - 728
JO - Journal of the London Mathematical Society
JF - Journal of the London Mathematical Society
SN - 0024-6107
IS - 2
ER -