Speciality:
01.01.06 (Mathematical logic, algebra, and number theory)
Phone: +7 (843) 519 42 84
E-mail: Keywords: C*-algebras, semigroup C*-algebras, universal C*-algebras, graded C*-algebras, crossed products of C*-algebras, inductive systems
Subject:
Crossed products of C*-algebras by groups and semigroups.
Extensions of semigroups and embeddings of semigroup C*-algebras.
Inductive systems of C*-algebras and limit automorphisms of C*-algebras.
Topologically graded C*-algebras and Banach modules.
Main publications:
E.V. Lipacheva, “Extensions of semigroups by the dihedral groups and semigroup C*-algebras”, Journal of Algebra and Its Applications, 23:2 (2024), 2450022
R.N. Gumerov, E.V. Lipacheva, “Automorphisms of the limits for the direct sequences of the Toeplitz-Cuntz algebras”, Journal of Mathematical Analysis and Applications, 533:2 (2024), 127991
E. V. Lipacheva, “On Graded Semigroup $C^*$-Algebras and Hilbert Modules”, Proc. Steklov Inst. Math., 313 (2021), 120–130
E. V. Lipacheva, “Extensions of semigroups and morphisms of semigroup $C^*$-algebras”, Siberian Math. J., 62:1 (2021), 66–76
R. N. Gumerov, E. V. Lipacheva, T. A. Grigoryan, “On a Topology and Limits for Inductive Systems of C*-Algebras over Partially Ordered Sets”, International journal of Theoretical Physics, 60 (2021), 499–511
S. A. Grigoryan, E. V. Lipacheva, A. S. Sitdikov, “Nets of graded $C^*$-algebras over partially ordered sets”, St. Petersburg Math. J., 30:6 (2019), 901–915
