We study the K-homology of the rotation algebras Aθ using the six term cyclic sequence for the K-homology of a crossed product by Z. In the case where θ is irrational, we use Pimsner and Voiculescu’s work on AF-embeddings of the Aθ to search for the missing generator of the even K-homology.

MOTIVATION Sequence homology searches are used in various fields. New sequencing technologies produce huge amounts of sequence data, which continuously increase the size of sequence databases. As a result, homology searches require large amounts of computational time, especially for metagenomic analysis. RESULTS We developed a fast homology search method based on database subsequence clusteri...

Homology searches of genomic databases are the essential step for new gene discovery. While novel search techniques are being developed to address this need, it is equally important to provide a unified experimental methodology for evaluating and comparing the different homology search methods. Current evaluation measures such as the Receiver Operating Characteristic(ROC) [5], the Coverage Vers...