On the topological hochschild homology of z/pkz

1995 ◽  
Vol 23 (4) ◽  
pp. 1545-1549 ◽  
Author(s):  
T. Pirashvili
Keyword(s):  
Hochschild Homology ◽  
Topological Hochschild Homology

scholarly journals Towards an understanding of ramified extensions of structured ring spectra

2018 ◽  
Vol 168 (3) ◽  
pp. 435-454 ◽  
Author(s):  
BJØRN IAN DUNDAS ◽  
AYELET LINDENSTRAUSS ◽  
BIRGIT RICHTER
Keyword(s):  
Hochschild Homology ◽  
Second Order ◽  
Ring Spectra ◽  
Quotient Maps ◽  
Local Complex ◽  
K Theory ◽  
Tame Ramification ◽  
Topological Hochschild Homology

AbstractWe propose topological Hochschild homology as a tool for measuring ramification of maps of structured ring spectra. We determine second order topological Hochschild homology of the p-local integers. For the tamely ramified extension of the map from the connective Adams summand to p-local complex topological K-theory we determine the relative topological Hochschild homology and show that it detects the tame ramification of this extension. We show that the complexification map from connective topological real to complex K-theory shows features of a wildly ramified extension. We also determine relative topological Hochschild homology for some quotient maps with commutative quotients.

Topological Hochschild homology and integral p $p$ -adic Hodge theory

2019 ◽  
Vol 129 (1) ◽  
pp. 199-310 ◽  
Author(s):  
Bhargav Bhatt ◽  
Matthew Morrow ◽  
Peter Scholze
Keyword(s):  
Hodge Theory ◽  
Hochschild Homology ◽  
Topological Hochschild Homology

On the Topological Hochschild Homology of bu, I

1993 ◽  
Vol 115 (1) ◽  
pp. 1 ◽  
Author(s):  
J. E. McClure ◽  
R. E. Staffeldt
Keyword(s):  
Hochschild Homology ◽  
Topological Hochschild Homology

scholarly journals Topological Hochschild homology and the Bass trace conjecture

2015 ◽  
Vol 2015 (704) ◽  
Author(s):  
A. J. Berrick ◽  
Lars Hesselholt
Keyword(s):  
Hochschild Homology ◽  
Trace Map ◽  
Topological Hochschild Homology

AbstractWe use the methods of topological Hochschild homology to shed new light on groups satisfying the Bass trace conjecture. Factorization of the Hattori–Stallings rank map through the Bökstedt–Hsiang–Madsen cyclotomic trace map leads to Linnell's restriction on such groups. As a new consequence of this restriction, we show that the conjecture holds for any group

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