46 research outputs found
Spectral synthesis in the multiplier algebra of a C_0(X)-algebra
We are grateful to the referee for a number of helpful comments and for pointing out an error in the original proof of Theorem 3.6.Peer reviewedPostprin
The Inner Corona Algebra of a C0(X)-Algebra
We are grateful to the referee for a number of helpful comments.Peer reviewedPostprin
Separation properties in the primitive ideal space of a multiplier algebra
Peer reviewedPostprin
Norms of inner derivations for multiplier algebras of C ∗ -algebras and group C ∗ -algebras, II
Peer reviewedPostprin
The centre-quotient property and weak centrality for C∗-algebras
Funding The second-named author was fully supported by the Croatian Science Foundation under the project IP-2016-06-1046.Peer reviewedPostprin
Local variants of the Dixmier property and weak centrality for C*-algebras
Peer reviewedPostprin
Minimal primal ideals in the inner corona algebra of a C_{0}(X)-algebra
Peer reviewedPostprin
Multiple novel prostate cancer susceptibility signals identified by fine-mapping of known risk loci among Europeans
Genome-wide association studies (GWAS) have identified numerous common prostate cancer (PrCa) susceptibility loci. We have
fine-mapped 64 GWAS regions known at the conclusion of the iCOGS study using large-scale genotyping and imputation in
25 723 PrCa cases and 26 274 controls of European ancestry. We detected evidence for multiple independent signals at 16
regions, 12 of which contained additional newly identified significant associations. A single signal comprising a spectrum of
correlated variation was observed at 39 regions; 35 of which are now described by a novel more significantly associated lead SNP,
while the originally reported variant remained as the lead SNP only in 4 regions. We also confirmed two association signals in
Europeans that had been previously reported only in East-Asian GWAS. Based on statistical evidence and linkage disequilibrium
(LD) structure, we have curated and narrowed down the list of the most likely candidate causal variants for each region.
Functional annotation using data from ENCODE filtered for PrCa cell lines and eQTL analysis demonstrated significant
enrichment for overlap with bio-features within this set. By incorporating the novel risk variants identified here alongside the
refined data for existing association signals, we estimate that these loci now explain ∼38.9% of the familial relative risk of PrCa,
an 8.9% improvement over the previously reported GWAS tag SNPs. This suggests that a significant fraction of the heritability of
PrCa may have been hidden during the discovery phase of GWAS, in particular due to the presence of multiple independent
signals within the same regio
On the real rank of -algebras of nilpotent locally compact groups
If is an almost connected, nilpotent, locally compact group then the real rank of the -algebra is given by , where is the connected component of the identity element. In particular, for the continuous Heisenberg group ,