Quasi-theories and their equivariant orthogonal spectra

Abstract

In this paper we construct orthogonal $G-$spectra up to a weak equivalence for the quasi-theory $Q{E}_{n,G}^{\ast }(-)$ corresponding to certain cohomology theories $E$. The construction of the orthogonal $G-$spectrum for quasi-elliptic cohomology can be applied to the constructions for quasi-theories.

17 pages. The construction is analogous to that in arXiv:1703.06562. For the readers' convenience, I still include all the details in the paper