Global transfer systems of abelian compact Lie groups

Abstract

Global transfer systems are equivalent to global $N_{\infty }$-operads, which parametrize different levels of commutativity in globally equivariant homotopy theory, where objects have compatible actions by all compact Lie groups. In this paper we explicitly describe and completely classify global transfer systems for the family of all abelian compact Lie groups.

arXiv comment10 pages, final published version, minor changes, updated bibliography

References in corpus (9)

• Global homotopy theory
• Homotopy Theory of Orbispaces
• Encoding Equivariant Commutativity via Operads
• Genuine equivariant operads
• Combinatorial $N_{\infty }$ operads
• Incomplete Tambara functors
• Equivariant stable categories for incomplete systems of transfers
• 1-smooth pro-p groups and Bloch-Kato pro-p groups
• Global $N_{\infty }$-operads

Cited by in corpus (2)

• Global $N_{\infty }$-operads
• Parametrized stability and the universal property of global spectra