UNIVERSAL COVERING GROUPS OF UNITARY GROUPS

Prelegent(ci)

PAWEL SARKOWICZ

Afiliacja

University of Waterloo, Canada

Język referatu

angielski

Termin

14 maja 2025 17:15

Informacje na temat wydarzenia

IMPAN 405 & ZOOM

Tytuł w języku polskim

UNIVERSAL COVERING GROUPS OF UNITARY GROUPS

Seminarium

North Atlantic Noncommutative Geometry Seminar

---

We examine a notion from algebraic topology, that of "universal covering groups", with the goal of better understanding unitary groups of C*-algebras. We give a complete description of what these universal covering groups are for unitary groups of von Neumann algebras. Along the way, we discuss some group homology, the de la Harpe-Skandalis determinant, and a bit of algebraic K-theory.

---