Dan Kučerovský

Research interests

I studied in Paris and Oxford, and began my career in Toronto (Canada). My research interests are in C*-algebras, which is a branch of ring theory having a particularly beautiful representation theory. I introduced and developed the now well-known CFP property of C*-algebras.

I have also applied C*-algebraic methods to establish the now popular unbounded Kasparov product approach to proving index theorems. In other interests, I have worked with bi-algebras and also with corona algebras, which are a particular kind of very large C*-algebra in which various constructions based on large cardinal numbers and/or unusual topological spaces allow surprising results to be proven.

Selected publications

• D. Kučerovský, Isomorphisms and automorphisms of discrete multiplier Hopf C*-algebras, Positivity, doi:10.1007/s11117-014-0290-8, to appear
• D. Kučerovský, On an abstract classification of finite-dimensional Hopf C*-algebras, Comptes Rendus (Can.), Vol. 36, to appear
• D. Kučerovský, On convolution products and automorphisms in Hopf C*-algebras, Positivity, published online (Dec. 2013), doi :10.1007/s11117-013-0265-1
• D. Kučerovský and A. Sarraf, Schur Multipliers and Matrix Products, Houston Journal of Mathematics, accepted