TY - JOUR
A1 - Nassau, Christian
T1 - On the structure of P(n)*P(n) for p=2
T2 - Transactions of the American Mathematical Society
N2 - We show that P(n)*(P(n)) for p = 2 with its geometrically induced structure maps is not an Hopf algebroid because neither the augmentation Epsilon nor the coproduct Delta are multiplicative. As a consequence the algebra structure of P(n)*(P(n)) is slightly different from what was supposed to be the case. We give formulas for Epsilon(xy) and Delta(xy) and show that the inversion of the formal group of P(n) is induced by an antimultiplicative involution Xi : P(n) -> P(n). Some consequences for multiplicative and antimultiplicative automorphisms of K(n) for p = 2 are also discussed.
KW - Hopf algebroids
KW - Morava K-theory
KW - bordism theory
KW - noncommutative ring spectra
Y1 - 2002
UR - http://publikationen.ub.uni-frankfurt.de/frontdoor/index/index/docId/4283
UR - https://nbn-resolving.org/urn:nbn:de:hebis:30-12069
SN - 1088-6850
SN - 0002-9947
N1 - © 2002 American Mathematical Society
VL - 354
IS - 5
SP - 1749
EP - 1757
PB - Soc.
CY - Providence, RI
ER -