For a “genuine” equivariant commutative ring spectrum R, π 0 (R) admits a rich algebraic
structure known as a Tambara functor. This algebraic structure mirrors the structure on R …

This paper interprets Hesselholt and Madsen's real topological Hochschild homology functor
THR in terms of the multiplicative norm construction. We show that THR satisfies cofinality …

In equivariant algebra, Mackey functors replace abelian groups and incomplete Tambara
functors replace commutative rings. In this context, we prove that equivariant Hochschild …

Building on work of Hill, Hoyer and Mazur we propose an equivariant version of a Loday
construction for $ G $-Tambara functors where $ G $ is an arbitrary finite group. For any finite …

We introduce a notion of freeness for RO RO‐graded equivariant generalized homology
theories, considering spaces or spectra EE such that the RR‐homology of EE splits as a …

The project of Greenlees et al. on understanding rational G-spectra in terms of algebraic
categories has had many successes, classifying rational G-spectra for finite groups, SO (2) …

In this paper, we compute the $ RO (C_n) $-graded coefficient ring of equivariant
cohomology for cyclic groups $ C_n $, in the case of Burnside ring coefficients, and in the …

We prove that Real topological Hochschild homology can be characterized as the norm from
the cyclic group of order $2 $ to the orthogonal group $ O (2) $. From this perspective, we …

For associative rings with anti-involution several homology theories exists, for instance
reflexive homology as studied by Graves and involutive Hochschild homology defined by …

Equivariant complex $ K $-theory and the equivariant sphere spectrum are two of the most
fundamental equivariant spectra. For an odd $ p $-group, we calculate the zeroth homotopy …