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In this note we introduce the notion of bundle gerbe K-theory and investigatethe relation to twisted K-theory. We provide some examples. Possibleapplications of bundle gerbe K-theory to the classification of D-brane chargesin non-trivial backgrounds are discussed.Comment: 29 pages, corrected typos, added references, included new section on  twisted Chern character in non-torsion cas

Twisted K-Theory and K-Theory of Bundle Gerbes