Elke Enning

Giles Gardam: Kaplansky's conjectures. Oberseminar C*-Algebren.

Tuesday, 01.06.2021 15:15 im Raum zoom

Mathematik und Informatik

Three conjectures on group rings of torsion-free groups are commonly attributed to Kaplansky, namely the unit, zero divisor and idempotent conjectures. For example, the zero divisor conjecture predicts that if $K$ is a field and $G$ is a torsion-free group, then the group ring $K[G]$ has no zero divisors. I will survey what is known about the conjectures, including their relationships to each other and to other conjectures and group properties, and present my recent counterexample to the unit conjecture.

Angelegt am 26.05.2021 von Elke Enning
Geändert am 26.05.2021 von Elke Enning
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