User vera - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-21T14:59:25Z http://mathoverflow.net/feeds/user/10210 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/42940/the-growthrate-of-the-homology-of-h-m-otimes-a-n-for-a-dg-bimodule-m The growthrate of the homology of $H_*(M^{\otimes_A n})$ for a DG-bimodule $M$ Vera 2010-10-20T20:47:45Z 2012-03-26T02:13:29Z <p>Suppose you have an DG-algebra $A$, and a DG-bimodule $M$ over $A$. Under which conditions will the rank of the bimodules $H_*(M^{\otimes_A n})$ will grow exponentially in terms of $n$? Here $M^{\otimes_A n}$ is the A-bimodule $M\otimes_A M\otimes_A\cdots\otimes_A M$ (with $n$ terms). Anything, even a counterexample would be interesting..</p>