We introduce a K-theoretic invariant for actions of unitary fusion categories on unital C∗-
algebras. We show that for inductive limits of finite dimensional actions of fusion categories …

This chapter considers the issues of symmetry and physical equivalence or invariance. It
suggests that if the notions of symmetry and equivalence coincide, then there is a tight …

This book is shorter than In Search of Lost Time, is easier to read than Principia
Mathematica, and has more mathematical content than War and Peace. 1, 2 It provides an …

We consider a certain class of unital simple stably finite C*-algebras which absorb the Jiang-
Su algebra Z tensorially. Under a mild assumption, we show that the crossed product of a C …

We consider how the outputs of the Kadison transitivity theorem and Gelfand–Naimark–
Segal (GNS) construction may be obtained in families when the initial data are varied. More …

We consider a set $ SPG (\mathcal {A}) $ of pure split states on a quantum spin chain
$\mathcal {A} $ which are invariant under the on-site action $\tau $ of a finite group $ G …

We consider a crossed product of a unital simple separable nuclear stably finite $\cal Z $-
stable $ C^* $-algebra $ A $ by a strongly outer cocycle action of a discrete countable …

We construct a C*-algebra that has only one irreducible representation up to unitary
equivalence but is not isomorphic to the algebra of compact operators on any Hilbert space …

An 𝑯3(𝑮,T)-valued index of symmetry-protected topological phases with on-site finite group
symmetry for two-dimensional qu Page 1 Forum of Mathematics, Pi (2021), Vol. 9:e13 1–62 …

We consider three notions of divisibility in the Cuntz semigroup of a C*‐algebra, and show
how they reflect properties of the C*‐algebra. We develop methods to construct (simple and …