3 papers
math.AC2004
The discrete Gelfand transform and its dual
V. Buchstaber, A. Lazarev
We consider the transformation $\ev$ which associates to any element in a K-algebra A a function on the the set of its K-points. This is the analogue of the fundamental Gelfand tra…
math.AT2002
Spaces of multiplicative maps between highly structured ring spectra
A. Lazarev
We uncover a somewhat surprising connection between spaces of multiplicative maps between -ring spectra and topological Hochschild cohomology. As a consequence we show th…
math.AT2002
Towers of MU-algebras and the generalized Hopkins-Miller theorem
A. Lazarev
Our results are of three types. First we describe a general procedure of adjoining polynomial variables to -ring spectra whose coefficient rings satisfy certain restricti…