TITLE: Citation: earliest incidence of the Borel localization theorem
QUESTION [9 upvotes]: The Borel localization theorem in (Borel) equivariant cohomology states that if $T$ is a torus and $M$ a smooth $T$-manifold, with fixed point set $M^T$, then upon localizing the coefficient ring $H^*_T := H^*(BT)$ (that is, tensoring with its field of fractions), the restriction map
$$H^*_T(M) \to H^*_T(M^T)$$
becomes an isomorphism.
The earliest reference to this result I know of is in Hsiang Wu-Yi's classic book on transformation groups, where he refers to the result as a "localization theorem of Borel–Atiyah–Segal type." It seems from Hsiang's presentation that Borel only proved this result for $T = S^1$; in any event, I've never been able to find the more general result in the Seminar on Transformation Groups. But I'd like to attribute it to someone.
Who originated this result? Failing that, what is the earliest citation you know?

REPLY [9 votes]: Here is the reference trail, according to this source:

Borel made the key observation [1] that the cohomology of the fixed
  point set was closely related to a torsion-free quotient. In the
  1960’s, this was formalized as the “localization theorem” of
  Borel-Atiyah-Segal-Quillen [2,3].


A. Borel, Seminar on transformation groups, Annals of Math. Studies
46, Princeton (1960) [Sect. XII Theorem 3.4]
M.F. Atiyah and G. Segal, Equivariant cohomology and localization,
lecture notes, 1965, Warwick.
D. Quillen, The
Spectrum of an Equivariant Cohomology Ring I, Annals of
Mathematics 94, 549–572 (1971). [Theorem 4.4].

A more extensive overview of the literature leading up to, and following after the localization theorem can be found here (section 1.7). In addition to the unpublished 1965 lecture notes of Atiyah and Segal, there is a 1968 publication [4], crediting the theorem to Segal [5] (who writes that "The theory was invented by Professor Atiyah, and most of the results are due to him.").

M.F. Atiyah and G.B Segal: Index of elliptic operators II, Ann. Math. 87, 531–545 (1968).
G.B. Segal, Equivariant K-theory, Publ. Math. Inst. Hautes Etudes (Paris) 34, 129-151 (1968).