arXiv:1710.09396v1 [math.OA] 25 Oct 2017 Noncommutative Coverings of Quantum Tori Page 1
arXiv:1710.09396v1 [math.OA] 25 Oct 2017 Noncommutative Coverings of Quantum Tori Kay …

We explore the recently introduced local-triviality dimensions by studying gauge actions on
graph C⁎-algebras, as well as the restrictions of the gauge action to finite cyclic subgroups …

We formulate a notion of the quantum automorphism groups of $2 $-graphs. We show that
two isomorphic $2 $-graphs have isomorphic quantum automorphism groups making the …

When a compact quantum group H coacts freely on unital C⁎-algebras A and B, the
existence of equivariant maps A→ B may often be ruled out due to the incompatibility of …

Let $ G'$ be a closed subgroup of a topological group $ G $. A principal $ G $-bundle $ X $
is reducible to a locally trivial principal $ G'$-bundle $ X'$ if and only if there exists a local …

We formulate a notion of the quantum automorphism group of a 2-graph. After some
preliminary computations, we define quantum isomorphism between a pair of 2-graphs. We …