A generalization of the topological Brauer group

Publisher: Cambridge University Press

E-ISSN: 1865-5394|2|3|407-444

ISSN: 1865-2433

Source: Journal of K-Theory, Vol.2, Iss.3, 2008-12, pp. : 407-444

Disclaimer: Any content in publications that violate the sovereignty, the constitution or regulations of the PRC is not accepted or approved by CNPIEC.

Previous Menu Next

Abstract

In the present paper we study some homotopy invariants which can be defined by means of bundles with fiber being a matrix algebra. In particular, we introduce some generalization of the Brauer group in the topological context and show that any of its elements can be represented as a locally trivial bundle with the structure group , k . Finally, we discuss its possible applications in the twisted K-theory.