7 papers
Spaces of UCP maps and subalgebras of von Neumann algebras
Pierre Fima, François Le Maître, Kunal Mukherjee +1
In this paper, we establish that several natural topologies on the space of state-preserving unital completely positive maps coincide and that make it a Polish space. We then focus…
Operator Algebras of Universal Quantum Homomorphisms
Pierre Fima, Malay Mandal, Issan Patri
Given two unital C*-algebras and , we study, when it exists, the universal unital -algebra generated by the coefficients of a unital -homomorphism…
Michael's selection theorem and applications to the Maréchal topology
Pierre Fima, François Le Maître, Kunal Mukherjee +1
The Maréchal topology, also called the Effros-Maréchal topology, is a natural topology one can put on the space of all von Neumann subalgebras of a given von Neumann algebra. It is…
Topological automorphism groups of compact quantum groups
Alexandru Chirvasitu, Issan Patri
We study the topological structure of the automorphism groups of compact quantum groups showing that, in parallel to a classical result due to Iwasawa, the connected component of i…
Maximal torus theory for compact quantum groups
Teodor Banica, Issan Patri
Associated to any compact quantum group is a canonical family of group dual subgroups , parametrized by unitaries , playing the rol…
On compact bicrossed products
Pierre Fima, Kunal Mukherjee, Issan Patri
We make a comprehensive and self-contained study of compact bicrossed products arising from matched pairs of discrete groups and compact groups. We exhibit an automatic regularity…
Normal Subgroups, Center and Inner Automorphisms of Compact Quantum Groups
Issan Patri
We introduce a class of automorphisms of compact quantum groups which may be thought of as inner automorphisms and explore the behaviour of normal subgroups of compact quantum grou…