A modern treatment of this complex mathematical topic for students beginning research in
operator algebras as well as mathematical physicists. Topics include the algebra of compact …

This book examines the differential geometry of manifolds, loop spaces, line bundles and
groupoids, and the relations of this geometry to mathematical physics. Applications …

We study a topological version of the T-duality relation between pairs consisting of a
principal U (1)-bundle equipped with a degree-three integral cohomology class. We …

T-duality acts on circle bundles by exchanging the first Chern class with the fiberwise
integral of the H-flux, as we motivate using E 8 and also using S-duality. We present known …

A Q-system in a C⁎ 2-category is a unitary version of a separable Frobenius algebra object
and can be viewed as a unitary version of a higher idempotent. We define a higher unitary …

It is known that the T-dual of a circle bundle with H-flux (given by a Neveu-Schwarz 3-form)
is the T-dual circle bundle with dual H-flux. However, it is also known that torus bundles with …

The main purpose of this paper is to establish a covariant representation theory for coactions
of locally compact groups on ${C^{\ast}} $-algebras (including a notion of exterior …

We first give general structural results for the twisted group algebras ${C^{\ast}}(G,\sigma) $
of a locally compact group $ G $ with large abelian subgroups. In particular, we use a …

We define the Brauer group Br (G) of a locally compact groupoid G to be the set of Morita
equivalence classes of pairs (A, α) consisting of an elementary C*-bundle A over G (0) …

Suppose that (G, T) is a second countable locally compact transformation group given by a
homomorphism ℓ: G→ Homeo (T), and thatAis a separable continuous-traceC*-algebra with …