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4 papers · 1 filter
The BGQ spectral sequence for noncommutative spaces
Christopher J. Pappacena
We prove an analogue of the Brown-Gersten-Quillen (BGQ) spectral sequence for noncommutative spaces. As applications, we consider this spectral sequence for affine and projective s…
Affine semiprime algebras of GK dimension one are (still) pi
Christopher J. Pappacena, Lance W. Small, Jeanne Wald
In this note, we give a new proof of the fact that an affine semiprime algebra R of Gelfand-Kirillov dimension 1 satisfies a polynomial identity. Our proof uses only the growth pro…
Heat trace asymptotics defined by transfer boundary conditions
Peter Gilkey, Klaus Kirsten, Dmitri Vassilevich
We compute the first 5 terms in the short-time heat trace asymptotics expansion for an operator of Laplace type with transfer boundary conditions using the functorial properties of…
Heat content asymptotics with transmittal and transmission boundary conditions
Peter Gilkey, Klaus Kirsten
We study the heat content asymptotics on a Riemannian manifold with smoooth boundary defined by Dirichlet, Neumann, transmittal and transmission boundary conditions.