5 papers
On proper compactifications of topological groups
K. L. Kozlov, A. G. Leiderman
In the present paper, we examine in detail the method of "graph compactifications" of topological groups. The graph and Ellis methods of constructing proper compactifications of to…
Enveloping semigroups as compactifications of topological groups
K. L. Kozlov, B. V. Sorin
Ellis's "functional approach" allows one to obtain proper compactifications of a topological group if can be represented as a subgroup of the homeomorphism group of a space…
On two methods of constructing compactifications of topological groups
K. L. Kozlov, A. G. Leiderman
The classification of (proper) compactifications of topological groups with respect to the possibility of extensions of algebraic operations is presented. Ellis' method of construc…
Enveloping Ellis semigroups as compactifications of transformations groups
K. L. Kozlov, B. V. Sorin
The notion of a proper Ellis semigroup compactification is introduced. Ellis's functional approach shows how to obtain them from totally bounded equiuniformities on a phase space $…
Hofstadter quasicrystals, hidden symmetries and irrational quantum oscillations
Kirill Kozlov, Grigor Adamyan, Mariia Kryvoruchko +2
Landau levels perturbed by a periodic potential is a prime setting to design quantum systems with exotic fractal spectra. Motivated by recent advances in twistronics, we introduce…